Question

(4^7/5^2)^3 i Don't get it

Answer 1

Answer:

$\sf \dfrac{4^{21}}{5^6}$

Step-by-step explanation:

Exponent Law:  

       $\sf \boxed{\left(\dfrac{a^m}{b^n}\right)^{x}=\dfrac{a^{m*x}}{b^{n*x}}}$

When any base is being multiplied by an exponent, distribute the exponent to each part of the base.

$\sf \left(\dfrac{4^7}{5^2}\right)^{3}=\dfrac{4^{7*3}}{5^{2*3}}$

           $\sf =\dfrac{4^{21}}{5^6}$