Question

What is (y^6)^-2?
2y^12
y^12
y^8
y^36​

Answer 1

`\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}\\\\ (y^6)^(-2)\implies y^(-2\cdot 6)\implies y^(-12)\implies \cfrac{1}{y^(12)}`