Respuesta :

hi!

1) rewrite as a fraction

(2^4/2^2)^3

2) reduce the expression by cancelling out the common factors

so factor out 2^2 out of 2^4

3) multiply by 1 so,

(2^2 * 2^2/ 2^2 * 1)^3

4) continue to cancel out common factors the rewrite the expression to be

(2^2/1)^3

5) then divide 2^2 by 1 so, it will be (2^2)^3

6) lastly simplify the expression so apply the power rule and multiply so it will be 2^2*3

then it will be 2^6

and raise 2 to the power of 6 and you answer is 64

(2^4 / 2^2) ^3
-------------------
2^4= (2•2)•(2•2)= 4•4= 16
2^2= 2•2= 4

replace 2^4 with 16 and 2^2 with 4

(16/4)^3
(4)^3
4^3= (4•4)•4= 16•4= 64

i believe your answer is 64
please give brainliest if this helps <3
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