Answer:
[tex]\sf \dfrac{4^{21}}{5^6}[/tex]
Step-by-step explanation:
Exponent Law:
[tex]\sf \boxed{\left(\dfrac{a^m}{b^n}\right)^{x}=\dfrac{a^{m*x}}{b^{n*x}}}[/tex]
When any base is being multiplied by an exponent, distribute the exponent to each part of the base.
[tex]\sf \left(\dfrac{4^7}{5^2}\right)^{3}=\dfrac{4^{7*3}}{5^{2*3}}[/tex]
[tex]\sf =\dfrac{4^{21}}{5^6}[/tex]
