Question

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

Answer 1

@phi

Answer 2

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

Answer 3

thatscorrect

Answer 4

so you have "something" multiplied by itself 4 times

Answer 5

ok

Answer 6

what is multiplied by itself 4 times?

Answer 7

the 5?

Answer 8

or 2

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

woah

Answer 13

thats alot

Answer 14

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

Answer 15

a little bit im pretty bad when it comes to fractions

Answer 16

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

Answer 17

mmmmh

Answer 18

idk

Answer 19

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

Answer 20

ohh woops

Answer 21

ya so we do that

Answer 22

4 times?

Answer 23

yes

Answer 24

ok 1 sec

Answer 25

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

Answer 26

2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 20? xD

Answer 27

yes 2^20

now the bottom

Answer 28

ok

Answer 29

3x3x3x3

Answer 30

right?

Answer 31

the bottom is 3^2 times itself 4 times

Answer 32

oh i need 2 more sorry

Answer 33

wait

Answer 34

isnt that correct or would it be 3x2x3x2x3x2x3x2

Answer 35

just 3 times itself

Answer 36

3x3x3x3x3x3

Answer 37

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

Answer 38

so the answer is 2^20/ 3^8

Answer 39

ohh

Answer 40

thats wasnt that bad

Answer 41

practice helps

Answer 42

yup ty very much

Answer 43

ok 1 more and we will be done :DD

Answer 44

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