What is 6*e^{-0.087*20} ?

The solution to 6*e^{-0.087*20} is 1.05312…

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simplify 6e^{-0.08720}

simplify

6 \cdot e^{- 0.087 \cdot 20}

1.05312 \dots

Solution steps

6 e^{- 0.087 \cdot 20}

Apply exponent rule:

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

= 6 \cdot \frac{1}{e ^{20 \cdot 0.087}}

Multiply the numbers:

0.087 \cdot 20 = 1.74

= 6 \cdot \frac{1}{e ^{1.74}}

Multiply fractions:

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

= \frac{1 \cdot 6}{e ^{1.74}}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6}{e ^{1.74}}

e^{1.74} = 5.69734 \dots

= \frac{6}{5.69734 \dots}

Divide the numbers:

\frac{6}{5.69734 \dots} = 1.05312 \dots

= 1.05312 \dots

(b^{3} c^{2} d^{2}) (b^{2} c^{4} d^{6})

8.5 \cdot 1 0^{- 3}

- \frac{6}{21}

2 4 + 15