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Popular >

simplify {[(-1/7)^2]^{-1}}^{-1}

Solution

simplify

⎩ ⎨ ⎧ [(- \frac{1}{7})^{2}]^{- 1} ⎭ ⎬ ⎫^{- 1}

Solution

\frac{1}{49}

+1

Decimal Notation

0.02040 \dots

Solution steps

⎩ ⎨ ⎧ [(- \frac{1}{7})^{2}]^{- 1} ⎭ ⎬ ⎫^{- 1}

[(- \frac{1}{7})^{2}]^{- 1} : (- \frac{1}{7})^{- 2}

= {(- \frac{1}{7})^{- 2}}^{- 1}

(- \frac{1}{7})^{- 2} = 7^{2}

= (7^{2})^{- 1}

Apply exponent rule:

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

= \frac{1}{7 ^{2}}

7^{2} = 49

= \frac{1}{49}

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Frequently Asked Questions (FAQ)

What is {[(-1/7)^2]^{-1}}^{-1} ?
The solution to {[(-1/7)^2]^{-1}}^{-1} is 1/49