What is 5e^{-0.008(265)}(4) ?

The solution to 5e^{-0.008(265)}(4) is 2.40063…

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simplify 5e^{-0.008(265)}(4)

simplify

5 e^{- 0.008 (265)} (4)

2.40063 \dots

Solution steps

5 e^{- 0.008 (265)} (4)

Apply exponent rule:

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

= 5 \cdot 4 \cdot \frac{1}{e ^{265 \cdot 0.008}}

Multiply the numbers:

0.008 \cdot 265 = 2.12

= 5 \cdot 4 \cdot \frac{1}{e ^{2.12}}

Multiply fractions:

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

= \frac{1 \cdot 5 \cdot 4}{e ^{2.12}}

Multiply the numbers:

1 \cdot 5 \cdot 4 = 20

= \frac{20}{e ^{2.12}}

e^{2.12} = 8.33113 \dots

= \frac{20}{8.33113 \dots}

Divide the numbers:

\frac{20}{8.33113 \dots} = 2.40063 \dots

= 2.40063 \dots

1435 \cdot 4.5359 \cdot 1 0^{- 4}

(7 a^{3} b^{4}) (3 a^{5} b^{2})

0.18 x 1 0^{- 2}

2.7386100000000 \dots \cdot 1 0^{- 5}

4.02 \cdot 1 0^{- 2}