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Popular >

simplify (-5)^3e^{(-5)}

Solution

simplify

(- 5)^{3} e^{(- 5)}

Solution

- \frac{125}{e ^{5}}

+1

Decimal Notation

- 0.84224 \dots

Solution steps

(- 5)^{3} e^{(- 5)}

Apply exponent rule:

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

= (- 5)^{3} \frac{1}{e ^{5}}

(- 5)^{3} = - 5^{3}

= - 5^{3} \cdot \frac{1}{e ^{5}}

Multiply fractions:

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

= - \frac{1 \cdot 5 ^{3}}{e ^{5}}

Multiply:

1 \cdot 5^{3} = 5^{3}

= - \frac{5 ^{3}}{e ^{5}}

5^{3} = 125

= - \frac{125}{e ^{5}}

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Frequently Asked Questions (FAQ)

What is (-5)^3e^{(-5)} ?
The solution to (-5)^3e^{(-5)} is -(125)/(e^5)