Which expression is equivalent to (

Question

4 years ago

9

Which expression is equivalent to (

la1" title=" \frac{1}{16} ^{-4} " alt=" \frac{1}{16} ^{-4} " align="absmiddle" class="latex-formula">
A. (-16)^4
B. 16^4
C. $^{4} \sqrt{} \frac{1}{16}$
D. -(1/16) $^{4}$

Mathematics

1 answer:

9966 [12] · Answer 1 · 2021-12-15T15:08:41+03:00

9966 [12]4 years ago

5 0

$a^{-n}=\left(\dfrac{1}{a}\right)^n\\\\therefore\\\\\left(\dfrac{1}{16}\right)^{-4}=\left(\dfrac{1}{\frac{1}{16}}\right)^4=16^4$

Answer: B. 16^4.