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)}`