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Popular >

simplify (1/(e^2))^{-2}

Solution

simplify

(\frac{1}{e ^{2}})^{- 2}

Solution

e^{4}

+1

Decimal Notation

54.59815 \dots

Solution steps

(\frac{1}{e ^{2}})^{- 2}

Apply exponent rule:

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

= \frac{1}{( \frac{1}{e ^{2}} ) ^{2}}

(\frac{1}{e ^{2}})^{2} = \frac{1}{e ^{4}}

= \frac{1}{\frac{1}{e ^{4}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{e ^{4}}{1}

Apply rule

\frac{a}{1} = a

= e^{4}

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Frequently Asked Questions (FAQ)

What is (1/(e^2))^{-2} ?
The solution to (1/(e^2))^{-2} is e^4