What is 1.6e^{-4(0.15)} ?

The solution to 1.6e^{-4(0.15)} is 0.87809…

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simplify 1.6e^{-4(0.15)}

simplify

1.6 e^{- 4 (0.15)}

0.87809 \dots

Solution steps

1.6 e^{- 4 (0.15)}

Apply exponent rule:

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

= 1.6 \cdot \frac{1}{e ^{4 \cdot 0.15}}

Multiply the numbers:

4 \cdot 0.15 = 0.6

= 1.6 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 1.6}{e ^{0.6}}

Multiply the numbers:

1 \cdot 1.6 = 1.6

= \frac{1.6}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{1.6}{1.82211 \dots}

Divide the numbers:

\frac{1.6}{1.82211 \dots} = 0.87809 \dots

= 0.87809 \dots

(2 - x^{2})^{- 2}

(- 2)^{6} e^{- (- 2)^{2}}

2.3 \cdot 1 0^{- 8}

(2 a^{3}) (3 a^{2})

7.2 \cdot 1 0^{- 6}