What is 7.6434*305^{0.2976}*e^{-0.0048*305} ?

The solution to 7.6434*305^{0.2976}*e^{-0.0048*305} is 9.70078…

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simplify 7.6434305^{0.2976}e^{-0.0048*305}

simplify

7.6434 \cdot 30 5^{0.2976} \cdot e^{- 0.0048 \cdot 305}

9.70078 \dots

Solution steps

7.6434 \cdot 30 5^{0.2976} e^{- 0.0048 \cdot 305}

Apply exponent rule:

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

= 30 5^{0.2976} \cdot 7.6434 \cdot \frac{1}{e ^{305 \cdot 0.0048}}

Multiply the numbers:

0.0048 \cdot 305 = 1.464

= 30 5^{0.2976} \cdot 7.6434 \cdot \frac{1}{e ^{1.464}}

Multiply fractions:

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

= 7.6434 \cdot \frac{1 \cdot 30 5 ^{0.2976}}{e ^{1.464}}

\frac{1 \cdot 30 5 ^{0.2976}}{e ^{1.464}} = 1.26917 \dots

= 1.26917 \dots \cdot 7.6434

Multiply the numbers:

7.6434 \cdot 1.26917 \dots = 9.70078 \dots

= 9.70078 \dots

e^{- 15} \cdot e^{- 45}

1 \cdot e^{- 5}

1.14 \cdot 1 0^{- 3}

- (x + 1)^{- 1}

What is 7.6434*305^{0.2976}*e^{-0.0048*305} ?
The solution to 7.6434*305^{0.2976}*e^{-0.0048*305} is 9.70078…