Question

Can some one check my work I will medal and fan. Question 1 simplify (2^5/3^2)^4 my answer 2^9/3^8 Question 2 simplify 9^2/9^7 my answer is 1/9^5

Answer 1

Q2 is correct: 9^2/9^7 = 9^(2-7)=9^(-5)=1/9^5

Q1 uses the law of exponents
(a^x)^y=a^(xy)
So
\((2^5/3^2)^4=(2^{5*4}/(3^{2*4}) =\)... I'll let you complete it. Your denominator was correct.

Answer 2

Would it be 2^20/3^8

Answer 3

Exactly, well-done! :)