What is (7(3e)/4)^{-3} ?

The solution to (7(3e)/4)^{-3} is (64)/(9261e^3)

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simplify (7(3e)/4)^{-3}

simplify

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

\frac{64}{9261 e ^{3}}

Decimal Notation

0.00034 \dots

Solution steps

(7 \cdot \frac{3 e}{4})^{- 3}

Apply exponent rule:

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

= \frac{1}{( 7 \cdot \frac{3 e}{4} ) ^{3}}

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

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

Apply the fraction rule:

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

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

4^{3} = 64

= \frac{64}{2 1 ^{3} e ^{3}}

2 1^{3} = 9261

= \frac{64}{9261 e ^{3}}

\frac{5 3 ^{2001}}{5 3 ^{2000}}

6.5 \cdot 1 0^{- 8}

x e^{- 2}

(\frac{2}{3})^{- 2^{^{'}}}

386.88 e^{- 0.03232 (2)}