Question

Which expression is equivalent to (1/4ab)^-2? Assume a is not equal to 0,b is not equal to 0

Answer 1

Answer:

d. $16a^2b^2$

Step-by-step explanation:

Given expression,

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

$=((4ab)^{-1})^{-2}$     $\because \frac{1}{a^m}=a^{-m}$

$=(4ab)^{-1\times -2}$    $\because (a^m)^n=a^{mn}$

$=(4ab)^2$

$=(4)^2(a)^2(b)^2$        $\because (ab)^m=a^mb^m$

$=16a^2b^2$

Hence, option d is correct.

Answer 2

The answer would be D.