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}

(4 a^{2} b^{4}) (3 a^{4} b^{3}) 2

2.79 \cdot 1 0^{- 16} \cdot 9.8049

e^{- 0.06921} (1 - e^{0.006472})

(3 x^{2} y) (10 x^{5} y^{3})

2^{- 10000}

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