What is e^{-2.5}((2.5)^3)/6 ?

The solution to e^{-2.5}((2.5)^3)/6 is 0.21376…

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simplify e^{-2.5}((2.5)^3)/6

simplify

e^{- 2.5} \frac{( 2.5 ) ^{3}}{6}

0.21376 \dots

Solution steps

e^{- 2.5} \frac{( 2.5 ) ^{3}}{6}

Apply exponent rule:

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

= \frac{1}{e ^{2.5}} \cdot \frac{2. 5 ^{3}}{6}

Multiply fractions:

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

= \frac{1 \cdot 2. 5 ^{3}}{e ^{2.5} \cdot 6}

Multiply:

1 \cdot 2. 5^{3} = 2. 5^{3}

= \frac{2. 5 ^{3}}{6 e ^{2.5}}

2. 5^{3} = 15.625

= \frac{15.625}{6 e ^{2.5}}

e^{2.5} = 12.18249 \dots

= \frac{15.625}{6 \cdot 12.18249 \dots}

Multiply the numbers:

12.18249 \dots \cdot 6 = 73.09496 \dots

= \frac{15.625}{73.09496 \dots}

Divide the numbers:

\frac{15.625}{73.09496 \dots} = 0.21376 \dots

= 0.21376 \dots

5.67 \cdot 1 0^{- 8} \cdot 0.8 \cdot 1.5 \cdot (30 7^{4} - 28 3^{4})

0.0013 (e^{\frac{25 + 273}{478}})^{- 3.9213}

(2 e^{- j^{0.3}}) \cdot (3 e^{j^{0.4}})

11924.59 (1.0599)^{- 5}

3.035 x 1 0^{- 3}