Question

What expression is equivalent to 5y^3/(5y)^-2

Answer 1

its 125y⁵ on edge!!

Explanation:

Answer 2

`\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)} \\\\ -------------------------------\\\\ \cfrac{5y^3}{(5y)^(-2)}\implies 5y^3(5y)^2\implies 5y^3(5^2y^2)\implies 5\cdot 5^2\cdot y^3\cdot y^2 \\\\\\ 5^(1+2)y^(3+2)\implies 5^3y^5\implies 125y^5`