Question

Which expression is equivalent to (m^−2 n^−3)−3?

m6n9
m−6n−9
m−5n−6
1 over the quantity m raised to the fifth power times n raised to the sixth power end quantity

Answer 1

(a) m^6·n^9

Explanation:

You want to know an expression equivalent to (m^-2·n^-3)^-3.

Rules of exponents

(ab)^c = (a^c)(b^c)

(a^b)^c = a^(bc)

Application

`(m^(-2)n^(-3))^(-3)=m^((-2)(-3))n^((-3)(-3))=\boxed{m^6n^9}`