What is 150e^{-0.05(12)} ?

The solution to 150e^{-0.05(12)} is 82.32174…

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simplify 150e^{-0.05(12)}

simplify

150 e^{- 0.05 (12)}

82.32174 \dots

Solution steps

150 e^{- 0.05 (12)}

Apply exponent rule:

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

= 150 \cdot \frac{1}{e ^{12 \cdot 0.05}}

Multiply the numbers:

0.05 \cdot 12 = 0.6

= 150 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 150}{e ^{0.6}}

Multiply the numbers:

1 \cdot 150 = 150

= \frac{150}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{150}{1.82211 \dots}

Divide the numbers:

\frac{150}{1.82211 \dots} = 82.32174 \dots

= 82.32174 \dots

20 a^{3} b^{3}

(3.42 x 1 0^{6}) (8.5 x 1 0^{7})

7 r^{3} (3 r^{2})

- 2 x (x^{2} - 1) e^{- x^{2}}

1.266 \cdot 1 0^{- 3}