What is 15e^{-0.15(4)} ?

The solution to 15e^{-0.15(4)} is 8.23217…

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simplify 15e^{-0.15(4)}

simplify

15 e^{- 0.15 (4)}

8.23217 \dots

Solution steps

15 e^{- 0.15 (4)}

Apply exponent rule:

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

= 15 \cdot \frac{1}{e ^{4 \cdot 0.15}}

Multiply the numbers:

0.15 \cdot 4 = 0.6

= 15 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 15}{e ^{0.6}}

Multiply the numbers:

1 \cdot 15 = 15

= \frac{15}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{15}{1.82211 \dots}

Divide the numbers:

\frac{15}{1.82211 \dots} = 8.23217 \dots

= 8.23217 \dots

e^{- 0.00043}

33

50 \cdot 1 0^{- 3} \cdot \frac{d}{d x} (2 x e^{- 4 x})

200 \cdot 729. 7^{- 8}

\frac{( 60 ) ^{2}}{( 0.02 ) ^{2}}