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Popular >

simplify 4e^9*(2e^2)^{-3}

Solution

simplify

4 e^{9} \cdot (2 e^{2})^{- 3}

Solution

\frac{e ^{3}}{2}

+1

Decimal Notation

10.04276 \dots

Solution steps

4 e^{9} (2 e^{2})^{- 3}

Apply exponent rule:

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

= 4 e^{9} \frac{1}{( 2 e ^{2} ) ^{3}}

\frac{1}{( 2 e ^{2} ) ^{3}} = \frac{1}{2 ^{3} e ^{6}}

= 4 e^{9} \frac{1}{2 ^{3} e ^{6}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 4 e ^{9}}{2 ^{3} e ^{6}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 e ^{9}}{2 ^{3} e ^{6}}

Cancel

\frac{4 e ^{9}}{2 ^{3} e ^{6}} : \frac{4 e ^{3}}{2 ^{3}}

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

Factor

4 : 2^{2}

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

Cancel

\frac{2 ^{2} e ^{3}}{2 ^{3}} : \frac{e ^{3}}{2}

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

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Frequently Asked Questions (FAQ)

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