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Popular >

simplify (e^3)^{-2}

Solution

simplify

(e^{3})^{- 2}

Solution

\frac{1}{e ^{6}}

+1

Decimal Notation

0.00247 \dots

Solution steps

(e^{3})^{- 2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{3 (- 2)}

3 (- 2) = - 6

= e^{- 6}

Apply exponent rule:

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

= \frac{1}{e ^{6}}

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Frequently Asked Questions (FAQ)

What is (e^3)^{-2} ?
The solution to (e^3)^{-2} is 1/(e^6)