I NEED HELP

[languid ember]

It’s on a non calculator paper and only one mark

[echo fjord]

Try rewriting 64

@languid ember

[languid ember]

How so?

[echo fjord]

Can you divide 64 by 2?

[languid ember]

Yes

32

[echo fjord]

so 64 = 32*2

Now the same for 32

Can you divide it by 2?

Do you see where I'm going? @languid ember

[languid ember]

Yes

4*3

Is 64

Right

[echo fjord]

4*3 = 12

I think you mean 4^3

[languid ember]

Yes

[echo fjord]

But yes that's correct

Can you get the answer?

[languid ember]

the 4^3 and ^-2/3

Do the 3s cancel out

[echo fjord]

yep

[languid ember]

So it leaves 4^-2

Or just 2

[echo fjord]

yes

[languid ember]

Would that be -16?

[echo fjord]

no quite

Do you know how to write $ \frac{1}{a}$ by using an exponent?

[languid ember]

Nope

[echo fjord]

so, you could write it as a^-1

[languid ember]

Is that the answer?

[echo fjord]

we have 4^-2

[languid ember]

Yes

[echo fjord]

can you write it as a fraction?

[languid ember]

Over 1 ?

[echo fjord]

yes

[languid ember]

Yes

4^-2 / 1

[echo fjord]

oh no I didn't mean that

look at the photo I sent

Do you recognise these formulas?

[languid ember]

No

[echo fjord]

hmmmm

Did you see exponents during class?

[languid ember]

No they usually throw in questions like this and I never understand

Especially on non calc papers

[echo fjord]

oooh okay, that's weird

but as you can see on the photo a^-m = 1/a^m

Can you apply that to our problem?

4^-2

[languid ember]

What would be m

2?

4^-2 = 1/4^-2

[echo fjord]

almost

4^-2 = 1/4^2

[echo fjord]

yes

[languid ember]

Ah

[echo fjord]

so we get 4^-2 = 1/4² = 1/16

[languid ember]

How

[echo fjord]

what do you mean

which step don't you get?

[languid ember]

How is it all equal to 1/16

[echo fjord]

$64 = 4^3$ so $(64)^{-\frac{2}{3}} = \left( 4^3 \right)^ {-\frac{2}{3}}$ so we get $4^{-2}$ by cancelling the 3's out

[languid ember]

Yes

[foggy gull]

zlik

[echo fjord]

So that explains why it's equal to 1/16

[languid ember]

But how did we get there

1/4^2?

[echo fjord]

Oh, it's applying a property of exponents

[languid ember]

?

[echo fjord]

Maybe you should do some reading about exponents

[languid ember]

Alr

[echo fjord]

I think that might help

[severe cipher]

Hey @echo fjord , could you help me next?

[echo fjord]

Be aware with what you're doing right now. It could lead to a ban. Don't ask your own questions in other people's post

If you make a post I can help you

[severe cipher]

K