Question

(PLEASE HELP)simplify 2 with an exponent of 5 over 3 with an exponent of 2 and the equation has an exponent of 4
a. 2 with an exponent of 20 over 3 with an exponent of 8
b. 2 with n exponent of 9 over 3 with an exponent of 8
c. 8 with an exponent of 5 over 12 with an exponent of 8
d. 2 over 3 with an exponent of 2

Answer 1

Assuming you mean this as your problem I hope I can assist you.
$( \frac{2^5}{3^2})^4$
So just apply the exponent rule to start, which is (a/b)^c = a^c/b^c
This translates to....
$\frac{(2^5)^4}{(3^2)^4}$
Now apply the exponent rule (a^b)^c = a^bc
Which translates to 3^2 * 4 which is refined to 3^8
So now we have....
$\frac{(2^5)^4}{3^8}$
Just apply the exponent rule (a^b)^c
So we get 2^5 * 4 which refines to 2^20
Therefore our final answer is 2^20/3^8