Question

Simplify the expression (1/4ab)^-2

Answer 1

(1/4ab)^(-2)
(1/4)^(-2)(a)^(-2)(b)^(-2)
(4)^(2)(1/a(^2))(1/b(^2))
16/((a^2)(b^2))

Answer 2

Answer:

$\frac{16}{a^{2}b^{2}}$

Step-by-step explanation:

we have

$(\frac{1}{4}ab)^{-2}$

Remember that

$(\frac{a}{b})^{-x}=(\frac{b}{a})^{x}=\frac{b^{x}}{a^{x}}$

so

$(\frac{1}{4}ab)^{-2}=(\frac{4}{ab})^{2}=\frac{16}{a^{2}b^{2}}$