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Popular >

simplify \sqrt[5]{t}*sqrt(t)

Solution

simplify

Solution

Solution steps

t = t^{\frac{1}{2}}

= t^{\frac{1}{5}} t^{\frac{1}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

t^{\frac{1}{5}} t^{\frac{1}{2}} = t^{\frac{1}{5} + \frac{1}{2}}

= t^{\frac{1}{5} + \frac{1}{2}}

\frac{1}{5} + \frac{1}{2} = \frac{7}{10}

= t^{\frac{7}{10}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{t}*sqrt(t) ?
The solution to \sqrt[5]{t}*sqrt(t) is \sqrt[10]{t^7}