Question

X^24 = 3^12 solve for x

Answer 1

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^{24}=3^{12}\implies x=\sqrt[24]{3^{12}}\implies x=3^{\frac{12}{24}}\implies x=3^{\frac{1}{2}}\implies x=\sqrt{3}$

Answer 2

Answer:x=3 1/2, -3 1/2

Step-by-step explanation:Take the root of both sides and solve