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Ivahew [28]
3 years ago
15

X^24 = 3^12 solve for x

Mathematics
2 answers:
Phoenix [80]3 years ago
8 0

\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}

Elenna [48]3 years ago
5 0

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


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


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