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Popular >

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

Solution

simplify

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

Solution

\frac{625}{e ^{5}}

+1

Decimal

4.21121 \dots

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

= 5^{1 + 3} e^{- 5}

Add the numbers:

1 + 3 = 4

= 5^{4} e^{- 5}

Apply exponent rule:

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

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

= 5^{4} \cdot \frac{1}{e ^{5}}

Multiply fractions:

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

= \frac{1 \cdot 5 ^{4}}{e ^{5}}

Multiply:

1 \cdot 5^{4} = 5^{4}

= \frac{5 ^{4}}{e ^{5}}

5^{4} = 625

= \frac{625}{e ^{5}}

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Frequently Asked Questions (FAQ)

What is 5(5)^3e^{-5} ?
The solution to 5(5)^3e^{-5} is (625)/(e^5)