how do i simplify this?

[woven cove]

ok thank you

was just a bit confused got the same answer

[arctic sentinel]

Is this really gcse🥲

[arctic sentinel]

What is the denominator supposed to say on the 4th step? What do the dots mean

[honest stump]

times

some places use dot for multiplication instead of x so that you dont get confused with x as a variable

[arctic sentinel]

Oh so you expand the bracket right but how comes it isn’t just 3^3x^-2 times 2/3 but instead its 3^3 • 2/3 x ^-2•2/3?

[honest stump]

im raising the brackets to the power of 2/3 not multiplying by 2/3

(ab)^c = a^c * b^c

. * is also another way of saying times

[arctic sentinel]

Ohh right thanks

[arctic sentinel]

Is the final answer supposed to say 11/6 or 11/0 btw

[honest stump]

11/6

11/0 is undefined

[arctic sentinel]

what💀

Im cooked asf

[honest stump]

you cant divide by 0

[arctic sentinel]

Thought anything divided by 0 was 1😭

[honest stump]

anything to the power of 0 is one

excluding 0

0^0 is also undefined

[arctic sentinel]

I asked my teacher that once and she said 0^0 is 1

But ik its wrong

[honest stump]

some people take that to be true

in fancy terms if you take the limit of x^x as x->0 then you get 1

[arctic sentinel]

Do yk what website this is from btw

The original question

And what topic

[honest stump]

idk the website

topic is probably under laws of exponents

[arctic sentinel]

On maths genie it says this topic is grade 6 whys it so hard💀

[honest stump]

you have time

[arctic sentinel]

Well, fractional indicies

Yeah i got 2 years so its calm

[honest stump]

its really just as simple as remembering the laws

a^b * a^c = a^(b+c)
a^b / a^c = a^(b-c)
(ab)^c = a^c * b^c

those are the only ones i can think of off the top of my head

[arctic sentinel]

Also at the end where it says x^1/2—4/3 do u just add them

Since - -=+

[honest stump]

yes