Question

Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

Answer 1

First write out your original equation.
${(\frac{ {4}^{7} }{ {5}^{2} } ) }^{3}$
Then use the law of exponents(power of a power) to simplify.
$\frac{ {4}^{21} }{ {5}^{6} }$
(Multiply the numerator and denominator exponents by the outside power.)

The answer is 4 to the 21st over 5 to the 6th.