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Mathematics 8 Online
OpenStudy (anonymous):

Attatched file. Help D:

OpenStudy (anonymous):

OpenStudy (anonymous):

rationalize the denominator. remember a neg exponent where x^-6=1/x^6

OpenStudy (jdoe0001):

\(\bf \large {\cfrac{1}{\sqrt[3]{x^{-6}}}\\ \quad \\ \quad \\ \textit{recall that}\quad \sqrt[m]{a^n}=a^{\frac{n}{m}} \qquad \textit{and that}\quad a^{-\frac{n}{m}} = \cfrac{1}{a^{\frac{n}{m}}}\quad thus\\ \quad \\ \cfrac{1}{\sqrt[3]{x^{-6}}}\implies \cfrac{1}{x^{\frac{-6}{3}}}\implies \cfrac{\frac{1}{1}}{ \frac{1}{x^{\frac{6}{3}}}}\implies \cfrac{1}{1}\cdot \cfrac{x^{\frac{6}{3}}}{1} }\)

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