Simplify 2 to the 5th over 3 squared all raised to the 4th power.
2 to the 20th over 3 to the 8th
2 to the 9th over 3 to the 8th
8 to the 5th over 12 to the 2nd
2 over 3 to the 2nd

- anonymous

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- anonymous

@phi

- phi

\[ \left(\frac{2^5}{3^2} \right)^4\]

- anonymous

thatscorrect

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## More answers

- phi

so you have "something" multiplied by itself 4 times

- anonymous

ok

- phi

what is multiplied by itself 4 times?

- anonymous

the 5?

- anonymous

or 2

- phi

everything in the parens is treated as one thing, that is multiplied by itself 4 times.

- anonymous

so the 2 5 3 and 2 are multiplied by 4?

- phi

you make a 4 copies of \(\left(\frac{2^5}{3^2} \right) \)
and multiply them together.

- anonymous

woah

- anonymous

thats alot

- phi

do you know how to multiply fractions? top times top and bottom times bottom

- anonymous

a little bit im pretty bad when it comes to fractions

- phi

care to figure out the top ? (it's 2^5 times itself 4 times)

- anonymous

mmmmh

- anonymous

idk

- phi

do you know what 2^5 means ? 2*2*2*2*2 right ?

- anonymous

ohh woops

- anonymous

ya so we do that

- anonymous

4 times?

- phi

yes

- anonymous

ok 1 sec

- phi

just "glue them together" and count the 2's

- anonymous

2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 20? xD

- phi

yes 2^20
now the bottom

- anonymous

ok

- anonymous

3x3x3x3

- anonymous

right?

- phi

the bottom is 3^2 times itself 4 times

- anonymous

oh i need 2 more sorry

- anonymous

wait

- anonymous

isnt that correct or would it be 3x2x3x2x3x2x3x2

- phi

just 3 times itself

- anonymous

3x3x3x3x3x3

- phi

3^2 is 3*3
we multiply 3*3 by itself 4 times
yes
3^8

- phi

so the answer is 2^20/ 3^8

- anonymous

ohh

- anonymous

thats wasnt that bad

- phi

practice helps

- anonymous

yup ty very much

- anonymous

ok 1 more and we will be done :DD

- phi

ok, I'll get there. but try to do some of the work.

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