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Popular >

simplify e^{-7.5}(7.5)^{3/(3!)}

Solution

simplify

e^{- 7.5} (7.5)^{\frac{3}{3 !}}

Solution

0.00151 \dots

Solution steps

e^{- 7.5} (7.5)^{\frac{3}{3 !}}

Apply exponent rule:

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

= 7. 5^{\frac{3}{3 !}} \cdot \frac{1}{e ^{7.5}}

Multiply fractions:

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

= \frac{1 \cdot 7. 5 ^{\frac{3}{3 !}}}{e ^{7.5}}

Multiply:

1 \cdot 7. 5^{\frac{3}{3 !}} = 7. 5^{\frac{3}{3 !}}

= \frac{7. 5 ^{\frac{3}{3 !}}}{e ^{7.5}}

3! = 6

= \frac{7. 5 ^{\frac{3}{6}}}{e ^{7.5}}

e^{7.5} = 1808.04241 \dots

= \frac{7. 5 ^{\frac{3}{6}}}{1808.04241 \dots}

7. 5^{\frac{3}{6}} = 2.73861 \dots

= \frac{2.73861 \dots}{1808.04241 \dots}

Divide the numbers:

\frac{2.73861 \dots}{1808.04241 \dots} = 0.00151 \dots

= 0.00151 \dots

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Frequently Asked Questions (FAQ)

What is e^{-7.5}(7.5)^{3/(3!)} ?
The solution to e^{-7.5}(7.5)^{3/(3!)} is 0.00151…