Question

Which expression is equivalent to (m^-2n^-4)^-4

Answer 1

m^8 n^16

Explanation:

Simplify the following:

(1/(m^2 n^4))^(-4)

Multiply exponents. (1/(m^2 n^4))^(-4) = (m^2 n^4)^4:

(m^2 n^4)^4

Multiply each exponent in m^2 n^4 by 4:

m^(4×2) n^(4×4)

4×4 = 16:

m^(4×2) n^16

4×2 = 8:

Answer: m^8 n^16