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Popular >

simplify (3t^{-1})/(t^{1/6)}

Solution

simplify

\frac{3 t ^{- 1}}{t ^{\frac{1}{6}}}

Solution

\frac{3}{t ^{\frac{7}{6}}}

Solution steps

\frac{3 t ^{- 1}}{t ^{\frac{1}{6}}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{t ^{- 1}}{t ^{\frac{1}{6}}} = \frac{1}{t ^{\frac{1}{6} - (- 1)}}

= \frac{3}{t ^{\frac{1}{6} - (- 1)}}

\frac{1}{6} - (- 1) = \frac{7}{6}

= \frac{3}{t ^{\frac{7}{6}}}

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Frequently Asked Questions (FAQ)

What is (3t^{-1})/(t^{1/6)} ?
The solution to (3t^{-1})/(t^{1/6)} is 3/(t^{7/6)}