What is 13*e^{-0.015*45} ?

The solution to 13*e^{-0.015*45} is 6.61903…

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simplify 13e^{-0.01545}

simplify

13 \cdot e^{- 0.015 \cdot 45}

6.61903 \dots

Solution steps

13 e^{- 0.015 \cdot 45}

Apply exponent rule:

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

= 13 \cdot \frac{1}{e ^{45 \cdot 0.015}}

Multiply the numbers:

0.015 \cdot 45 = 0.675

= 13 \cdot \frac{1}{e ^{0.675}}

Multiply fractions:

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

= \frac{1 \cdot 13}{e ^{0.675}}

Multiply the numbers:

1 \cdot 13 = 13

= \frac{13}{e ^{0.675}}

e^{0.675} = 1.96403 \dots

= \frac{13}{1.96403 \dots}

Divide the numbers:

\frac{13}{1.96403 \dots} = 6.61903 \dots

= 6.61903 \dots

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