I need help with this SAT question.

Question

If 4m-2n=10, what is the value of 81^m/9ⁿ ?

A. 3¹⁰

B. 9⁴

C. 27²

D. 81²

Answer 1

Hello Hriday.

If 4m - 2n = 10 then you need to find a relationship between this equation 81^m/9^n;

we know that both 81 and 9 are multiples of 3; lets change the base to 3

we get 3^4m/3^2n (81 = 3^4 and 9 = 3^2)

3^4m/3^2n = 3^4m - 2n;

since we have given 4m - 2n = 10; just plug it in

3^10 is your answer

hope that helps