Question

Which expression is equivalent to (125^2/125^4/3)​

Answer 1

The answer is D on edge.

Explanation:

I took the quiz edge 2021

Answer 2

`\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{125^2}{125^{(4)/(3)}}\implies \cfrac{(5^3)^2}{(5^3)^{(4)/(3)}}\implies \cfrac{5^(3\cdot 2)}{5^{3\cdot (4)/(3)}}\implies \cfrac{5^6}{5^4}\\\\\\ 5^6\cdot 5^(-4)\implies 5^(6-4)\implies 5^2\implies 25`