What is 90e^{-(0.021661)(12)} ?

The solution to 90e^{-(0.021661)(12)} is 69.39936…

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simplify 90e^{-(0.021661)(12)}

simplify

90 e^{- (0.021661) (12)}

69.39936 \dots

Solution steps

90 e^{- (0.021661) (12)}

Apply exponent rule:

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

= 90 \cdot \frac{1}{e ^{12 \cdot 0.021661}}

Multiply the numbers:

0.021661 \cdot 12 = 0.259932

= 90 \cdot \frac{1}{e ^{0.259932}}

Multiply fractions:

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

= \frac{1 \cdot 90}{e ^{0.259932}}

Multiply the numbers:

1 \cdot 90 = 90

= \frac{90}{e ^{0.259932}}

e^{0.259932} = 1.29684 \dots

= \frac{90}{1.29684 \dots}

Divide the numbers:

\frac{90}{1.29684 \dots} = 69.39936 \dots

= 69.39936 \dots

\frac{w - 5}{w + 5}

3.67 \cdot 1 0^{- 1}

b c^{3} (b^{2} c)

(6 s^{5} z^{6}) (2 s^{3} z^{4})

What is 90e^{-(0.021661)(12)} ?
The solution to 90e^{-(0.021661)(12)} is 69.39936…