What is simplify-0.7978e^{-0.01(75)} ?

The solution to simplify-0.7978e^{-0.01(75)} is -0.37685…

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simplify-0.7978e^{-0.01(75)}

simplify

- 0.7978 e^{- 0.01 (75)}

- 0.37685 \dots

Solution steps

- 0.7978 e^{- 0.01 (75)}

Apply exponent rule:

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

= - 0.7978 \cdot \frac{1}{e ^{75 \cdot 0.01}}

Multiply the numbers:

0.01 \cdot 75 = 0.75

= - 0.7978 \cdot \frac{1}{e ^{0.75}}

Multiply fractions:

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

= - \frac{1 \cdot 0.7978}{e ^{0.75}}

Multiply the numbers:

1 \cdot 0.7978 = 0.7978

= - \frac{0.7978}{e ^{0.75}}

Simplify

\frac{0.7978}{e ^{0.75}} : 0.37685 \dots

= - 0.37685 \dots

109 e^{- 0.3 \cdot 5}

5 x^{3} y z^{2} (3 y z^{3})

{234375000000 - \frac{15}{4} (510)^{4}} (510)^{- 4}

3.33 \cdot 1 0^{- 8}

3.43 \cdot 1 0^{- 7}

What is simplify-0.7978e^{-0.01(75)} ?
The solution to simplify-0.7978e^{-0.01(75)} is -0.37685…