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Popular >

simplify (1/7)^{-4}

Solution

simplify

(\frac{1}{7})^{- 4}

Solution

2401

Solution steps

(\frac{1}{7})^{- 4}

Apply exponent rule:

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

(\frac{1}{7})^{- 4} = \frac{1}{( \frac{1}{7} ) ^{4}}

= \frac{1}{( \frac{1}{7} ) ^{4}}

(\frac{1}{7})^{4} = \frac{1}{2401}

= \frac{1}{\frac{1}{2401}}

\frac{1}{\frac{1}{2401}} = 2401

= 2401

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Frequently Asked Questions (FAQ)

What is (1/7)^{-4} ?
The solution to (1/7)^{-4} is 2401