What is (120)e^{-(0.0352)(30)} ?

The solution to (120)e^{-(0.0352)(30)} is 41.74132…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (120)e^{-(0.0352)(30)}

simplify

(120) e^{- (0.0352) (30)}

41.74132 \dots

Solution steps

(120) e^{- (0.0352) (30)}

Apply exponent rule:

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

= 120 \cdot \frac{1}{e ^{30 \cdot 0.0352}}

Multiply the numbers:

0.0352 \cdot 30 = 1.056

= 120 \cdot \frac{1}{e ^{1.056}}

Multiply fractions:

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

= \frac{1 \cdot 120}{e ^{1.056}}

Multiply the numbers:

1 \cdot 120 = 120

= \frac{120}{e ^{1.056}}

e^{1.056} = 2.87484 \dots

= \frac{120}{2.87484 \dots}

Divide the numbers:

\frac{120}{2.87484 \dots} = 41.74132 \dots

= 41.74132 \dots

3^{3} \cdot 2^{3}

((e^{x})^{2})^{2}

1.14 \cdot 1 0^{- 1}

e^{(- 0.25 \cdot (- 0.5 8^{2}))}

(3)

What is (120)e^{-(0.0352)(30)} ?
The solution to (120)e^{-(0.0352)(30)} is 41.74132…