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Popular >

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

Solution

simplify

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

Solution

\frac{108}{e ^{3}}

+1

Decimal Notation

5.37700 \dots

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 4 = 4

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

4 \cdot 3^{3} = 108

= \frac{108}{e ^{3}}

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Frequently Asked Questions (FAQ)

What is 4(3)^3e^{-3} ?
The solution to 4(3)^3e^{-3} is (108)/(e^3)