multiplying out brackets | Revision Server | Page 1

waxen sentinel Jan 6, 2023, 9:57 AM

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For a) I got x^-1 + x^0

I’m only confused on B I don’t understand the question for B and how to do it

tulip hornet Jan 6, 2023, 9:59 AM

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sorry its cut off whats x =

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@waxen sentinel

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also for a) you can actually simplify x^0

waxen sentinel Jan 6, 2023, 10:01 AM

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tulip hornet sorry its cut off whats x =

x=6

tulip hornet Jan 6, 2023, 10:01 AM

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ok cool

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also see above about

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simplifying x^0

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whats anything ^0?

waxen sentinel Jan 6, 2023, 10:02 AM

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tulip hornet also for a) you can actually simplify x^0

but in the answer it says this for A)

tulip hornet Jan 6, 2023, 10:02 AM

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mmm

waxen sentinel Jan 6, 2023, 10:02 AM

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tulip hornet whats anything ^0?

0

tulip hornet Jan 6, 2023, 10:02 AM

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id argue thats wrong but ok

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not quite 0

waxen sentinel Jan 6, 2023, 10:02 AM

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X * 0 = 0

tulip hornet Jan 6, 2023, 10:02 AM

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maybe think like

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so if i went from 2^0 to 2^1

tulip hornet Jan 6, 2023, 10:03 AM

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waxen sentinel X * 0 = 0

thats times not to the power of

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if i went from 2^0 to 2^1

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what must i have done

waxen sentinel Jan 6, 2023, 10:03 AM

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I’m not sure

tulip hornet Jan 6, 2023, 10:03 AM

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youd have mutliplied by 2

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right?

waxen sentinel Jan 6, 2023, 10:03 AM

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No one

tulip hornet Jan 6, 2023, 10:04 AM

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wdym by that soryr

waxen sentinel Jan 6, 2023, 10:04 AM

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1

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2^1

tulip hornet Jan 6, 2023, 10:04 AM

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for x^0?

waxen sentinel Jan 6, 2023, 10:04 AM

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Yeah

tulip hornet Jan 6, 2023, 10:04 AM

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yeah x^0 = 1

waxen sentinel Jan 6, 2023, 10:04 AM

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Oh how

tulip hornet Jan 6, 2023, 10:04 AM

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im confused

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do you know what ^ means here

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like its a computer way of saying what

waxen sentinel Jan 6, 2023, 10:05 AM

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tulip hornet for x^0?

Oh I meant for 2^0 to 2^1 I don’t see why it’s multipled by 2 to reach 2^1

tulip hornet Jan 6, 2023, 10:05 AM

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so do you know your index laws

waxen sentinel Jan 6, 2023, 10:05 AM

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tulip hornet do you know what ^ means here

Yeah the smaller version of numbers

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Yeah

tulip hornet Jan 6, 2023, 10:05 AM

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so if i said whats

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2^0 times 2

waxen sentinel Jan 6, 2023, 10:05 AM

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Forgot a bit of it tho

tulip hornet Jan 6, 2023, 10:05 AM

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how would you simplify that

waxen sentinel Jan 6, 2023, 10:05 AM

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2

tulip hornet Jan 6, 2023, 10:05 AM

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why

waxen sentinel Jan 6, 2023, 10:05 AM

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Wait

waxen sentinel Jan 6, 2023, 10:06 AM

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tulip hornet how would you simplify that

Oh so the fourth law of indices says x^0 = 1 but to me it doesn’t really make sense

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But it is a law so should it just make sense like that

tulip hornet Jan 6, 2023, 10:06 AM

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well we can use our other laws to show it

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can we go back to like

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how would you simplify 2^0 times 2

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if you didnt know what 2^0 was

waxen sentinel Jan 6, 2023, 10:07 AM

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1^0 * 1

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1^0

tulip hornet Jan 6, 2023, 10:07 AM

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wheres 1 come from sorry

waxen sentinel Jan 6, 2023, 10:07 AM

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Simplified 2 from both sides

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Which is 1

tulip hornet Jan 6, 2023, 10:08 AM

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you cant do that

waxen sentinel Jan 6, 2023, 10:08 AM

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Oh

tulip hornet Jan 6, 2023, 10:08 AM

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how about simplifying 2^0 * 2^1

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using index laws

waxen sentinel Jan 6, 2023, 10:08 AM

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4^1

tulip hornet Jan 6, 2023, 10:08 AM

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nop

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heres a reminder of the laws

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im interested in the last one on the left

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x^n times x^m = x^(n+m)

waxen sentinel Jan 6, 2023, 10:09 AM

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2^1

tulip hornet Jan 6, 2023, 10:09 AM

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perfect

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so 2^0 * 2^1 = 2^1

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so

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you can see that multiplying by 2^0

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hasnt changed our number

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right?

waxen sentinel Jan 6, 2023, 10:10 AM

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Yeah

tulip hornet Jan 6, 2023, 10:10 AM

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in fact now you could divide both sides by 2^1

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and youd get

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2^0 = 1

waxen sentinel Jan 6, 2023, 10:10 AM

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what do you mean?

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What sides

tulip hornet Jan 6, 2023, 10:10 AM

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both sides of the =

tulip hornet Jan 6, 2023, 10:10 AM

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tulip hornet so 2^0 * 2^1 = 2^1

from this

waxen sentinel Jan 6, 2023, 10:10 AM

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oh lik in algebra

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Like

tulip hornet Jan 6, 2023, 10:11 AM

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yep

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so does this make sense to you?

waxen sentinel Jan 6, 2023, 10:11 AM

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2^1 = 2^1 = 1?

tulip hornet Jan 6, 2023, 10:11 AM

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nop

waxen sentinel Jan 6, 2023, 10:11 AM

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I mean

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2^1/2^1

tulip hornet Jan 6, 2023, 10:11 AM

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yep

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any number divided by itself is 1

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think like 3/3 = 1, 8/8 = 1

waxen sentinel Jan 6, 2023, 10:12 AM

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Oh

tulip hornet Jan 6, 2023, 10:12 AM

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anything divided by itself is 1

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2^1 is just some number so

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2^1 / 2^1 = 1

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right?

waxen sentinel Jan 6, 2023, 10:12 AM

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Yup

tulip hornet Jan 6, 2023, 10:12 AM

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ok cool

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and now

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we didnt really need to use 2 here did we

waxen sentinel Jan 6, 2023, 10:12 AM

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So I have to apply this strategy to the question I was given

tulip hornet Jan 6, 2023, 10:12 AM

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like if we did 3 instead

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it would just be the same right

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3^0 is still 1

waxen sentinel Jan 6, 2023, 10:13 AM

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Like 3/3?

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Oh

tulip hornet Jan 6, 2023, 10:13 AM

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cuz we have the same like

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3^0 * 3^1 = 3^1

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so 3^0 = 1

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like its exactly the same

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theres nothing special about the bottom number

waxen sentinel Jan 6, 2023, 10:14 AM

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tulip hornet 3^0 * 3^1 = 3^1

Yep by memorising the laws would it be a quicker way of doing that bc you’d instantly know what 3^0 is

tulip hornet Jan 6, 2023, 10:14 AM

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exactly

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and cuz its the same for any number

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x^0

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is just what

waxen sentinel Jan 6, 2023, 10:14 AM

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1

tulip hornet Jan 6, 2023, 10:14 AM

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voila

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so going back to your question

waxen sentinel Jan 6, 2023, 10:14 AM

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ohh ok I’ll do this question and show you what I get

tulip hornet Jan 6, 2023, 10:14 AM

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epic

waxen sentinel Jan 6, 2023, 10:18 AM

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tulip hornet epic

I got confused again, because in this occasion I’m not actually multiplying

tulip hornet Jan 6, 2023, 10:18 AM

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yeah so

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theres actually another way of writing 6^-1

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without the power

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if you remember?

waxen sentinel Jan 6, 2023, 10:19 AM

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Fraction form,

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?

tulip hornet Jan 6, 2023, 10:19 AM

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yep

waxen sentinel Jan 6, 2023, 10:19 AM

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6/1?

tulip hornet Jan 6, 2023, 10:19 AM

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other way round

waxen sentinel Jan 6, 2023, 10:19 AM

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1/6

tulip hornet Jan 6, 2023, 10:19 AM

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1 on the top

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ye

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so 6^-1 + 1

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is the same as (1/6) + 1

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right?

waxen sentinel Jan 6, 2023, 10:20 AM

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Yep

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So 1/6 + 1/1

tulip hornet Jan 6, 2023, 10:20 AM

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now you gotta add fractions

waxen sentinel Jan 6, 2023, 10:21 AM

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tulip hornet now you gotta add fractions

7/6?

tulip hornet Jan 6, 2023, 10:21 AM

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perfect

waxen sentinel Jan 6, 2023, 10:21 AM

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ohh, thank you so much!

tulip hornet Jan 6, 2023, 10:21 AM

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nw!

slim lynx Jan 6, 2023, 11:26 AM

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waxen sentinel but in the answer it says this for A)

Imo it shld be (x+1)/x

#multiplying out brackets