Question

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

Answer 1

$\bf \left( \cfrac{4^7}{5^2} \right)^3\impliedby \textit{first, let's distribute the exponent} \\\\\\ \left( \cfrac{4^{7\cdot 3}}{5^{2\cdot 3}} \right)\implies \cfrac{4^{21}}{5^6} \implies \cfrac{4398046511104}{15625}$