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Popular >

simplify e^{-(4/3)^2}

Solution

simplify

e^{- (\frac{4}{3})^{2}}

Solution

\frac{1}{e ^{\frac{16}{9}}}

+1

Decimal Notation

0.16901 \dots

Solution steps

e^{- (\frac{4}{3})^{2}}

Apply exponent rule:

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

= \frac{1}{e ^{(\frac{4}{3})^{2}}}

e^{(\frac{4}{3})^{2}} = e^{\frac{4 ^{2}}{3 ^{2}}}

= \frac{1}{e ^{\frac{4 ^{2}}{3 ^{2}}}}

\frac{4 ^{2}}{3 ^{2}} = \frac{16}{9}

= \frac{1}{e ^{\frac{16}{9}}}

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Frequently Asked Questions (FAQ)

What is e^{-(4/3)^2} ?
The solution to e^{-(4/3)^2} is 1/(e^{16/9)}