What is (8^{-2})/(e^{-2)} ?

The solution to (8^{-2})/(e^{-2)} is (e^2)/(64)

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simplify (8^{-2})/(e^{-2)}

simplify

\frac{8 ^{- 2}}{e ^{- 2}}

\frac{e ^{2}}{64}

Decimal Notation

0.11545 \dots

Solution steps

\frac{8 ^{- 2}}{e ^{- 2}}

Apply exponent rule:

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

\frac{8 ^{- 2}}{e ^{- 2}} = (\frac{8}{e})^{- 2}

= (\frac{8}{e})^{- 2}

Apply exponent rule:

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

= \frac{1}{( \frac{8}{e} ) ^{2}}

Apply exponent rule:

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

(\frac{8}{e})^{2} = \frac{8 ^{2}}{e ^{2}}

= \frac{1}{\frac{8 ^{2}}{e ^{2}}}

Apply the fraction rule:

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

= \frac{e ^{2}}{8 ^{2}}

8^{2} = 64

= \frac{e ^{2}}{64}

f (x) = 2 sin^{2} (x) cos^{2} (x)

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