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Hoochie [10]
3 years ago
12

Which of the following represents fifth root of x squared in exponential form? x to the 2 fifths power x to the 5 over 2 power 5

x2 2x5
Mathematics
1 answer:
Semmy [17]3 years ago
3 0
\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
\\\quad \\
% rational negative exponent
a^{-\frac{{ n}}{{ m}}} =
 \cfrac{1}{a^{\frac{{ n}}{{ m}}}} \implies \cfrac{1}{\sqrt[{ m}]{a^{ n}}}\qquad\qquad 
%  radical denominator
\cfrac{1}{\sqrt[{ m}]{a^{ n}}}= \cfrac{1}{a^{\frac{{ n}}{{ m}}}}\implies a^{-\frac{{ n}}{{ m}}} \\\\
-----------------------------\\\\
\sqrt[5]{x^2}\iff x^{\frac{2}{5}}
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