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Popular >

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

Solution

simplify

(\frac{1}{3})^{- (\frac{1}{3})^{- 1}}

Solution

27

Solution steps

(\frac{1}{3})^{- (\frac{1}{3})^{- 1}}

Apply exponent rule:

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

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

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

(\frac{1}{3})^{(\frac{1}{3})^{- 1}} = \frac{1}{27}

= \frac{1}{\frac{1}{27}}

\frac{1}{\frac{1}{27}} = 27

= 27

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Frequently Asked Questions (FAQ)

What is (1/3)^{-(1/3)^{-1}} ?
The solution to (1/3)^{-(1/3)^{-1}} is 27