Question

What’s the simplified form of the expression (T^4/10y^4)^-4

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \left( \cfrac{t^4}{10y^4} \right)^{-4}\implies \left( \cfrac{10y^4}{t^4} \right)^{4}\impliedby \textit{then we distribute the exponent} \\\\\\ \left( \cfrac{10^4y^{4\cdot 4}}{t^{4\cdot 4}} \right)\implies \cfrac{10000y^{16}}{t^{16}}$