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Popular >

simplify 70e^{-0.35}

Solution

simplify

70 \cdot e^{- 0.3 \cdot 5}

Solution

15.61911 \dots

Solution steps

70 e^{- 0.3 \cdot 5}

Apply exponent rule:

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

= 70 \cdot \frac{1}{e ^{5 \cdot 0.3}}

Multiply the numbers:

0.3 \cdot 5 = 1.5

= 70 \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 70}{e ^{1.5}}

Multiply the numbers:

1 \cdot 70 = 70

= \frac{70}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{70}{4.48168 \dots}

Divide the numbers:

\frac{70}{4.48168 \dots} = 15.61911 \dots

= 15.61911 \dots

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Frequently Asked Questions (FAQ)

What is 70*e^{-0.3*5} ?
The solution to 70*e^{-0.3*5} is 15.61911…