Respuesta :
First write out your original equation.
[tex] {(\frac{ {4}^{7} }{ {5}^{2} } ) }^{3} [/tex]
Then use the law of exponents(power of a power) to simplify.
[tex] \frac{ {4}^{21} }{ {5}^{6} } [/tex]
(Multiply the numerator and denominator exponents by the outside power.)
The answer is 4 to the 21st over 5 to the 6th.
[tex] {(\frac{ {4}^{7} }{ {5}^{2} } ) }^{3} [/tex]
Then use the law of exponents(power of a power) to simplify.
[tex] \frac{ {4}^{21} }{ {5}^{6} } [/tex]
(Multiply the numerator and denominator exponents by the outside power.)
The answer is 4 to the 21st over 5 to the 6th.
