Question

Select the equivalent expression . ( 8^ -5 2^ -2 )^ -4 =?

Answer 1

Answer:

C)  $\frac{8^{20} }{2^{8} }$

Step-by-step explanation:

Explanation:-

Given that the expression

              $(\frac{8^{-5} }{2^{-2} } )^{-4}$

By using algebra formula

 $(\frac{a}{b} )^{m} = \frac{a^{m} }{b^{n} }$

$(\frac{8^{-5} }{2^{-2} } )^{-4} = \frac{8^{-5X(-4)} }{2^{-2X(-4)} }$

            = $\frac{8^{20} }{2^{8} }$