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Paha777 [63]
3 years ago
9

Simplify x to the 5/8 over x to the 1/8

Mathematics
1 answer:
arlik [135]3 years ago
4 0
\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}}
\\\\\\
\textit{}a^{\frac{ n}{ m}} \implies  \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}
\\\\
-------------------------------

\bf \cfrac{x^{\frac{5}{8}}}{x^{\frac{1}{8}}}\implies x^{\frac{5}{8}}\cdot x^{-\frac{1}{8}}\implies x^{\frac{5}{8}-\frac{1}{8}}\implies x^{\frac{4}{8}}\implies x^{\frac{1}{2}}\implies \sqrt[2]{x^1}\implies \sqrt{x}
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