What is 1.5e^{-4(0.15)} ?

The solution to 1.5e^{-4(0.15)} is 0.82321…

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simplify 1.5e^{-4(0.15)}

simplify

1.5 e^{- 4 (0.15)}

0.82321 \dots

Solution steps

1.5 e^{- 4 (0.15)}

Apply exponent rule:

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

= 1.5 \cdot \frac{1}{e ^{4 \cdot 0.15}}

Multiply the numbers:

4 \cdot 0.15 = 0.6

= 1.5 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 1.5}{e ^{0.6}}

Multiply the numbers:

1 \cdot 1.5 = 1.5

= \frac{1.5}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{1.5}{1.82211 \dots}

Divide the numbers:

\frac{1.5}{1.82211 \dots} = 0.82321 \dots

= 0.82321 \dots

2 5^{x}

518.2 \cdot 6^{- 0.7082}

(1 - v^{2})^{3}

l 3 l x