What is 1500e^{-0.58(8)} ?

The solution to 1500e^{-0.58(8)} is 14.48654…

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simplify 1500e^{-0.58(8)}

simplify

1500 e^{- 0.58 (8)}

14.48654 \dots

Solution steps

1500 e^{- 0.58 (8)}

Apply exponent rule:

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

= 1500 \cdot \frac{1}{e ^{8 \cdot 0.58}}

Multiply the numbers:

0.58 \cdot 8 = 4.64

= 1500 \cdot \frac{1}{e ^{4.64}}

Multiply fractions:

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

= \frac{1 \cdot 1500}{e ^{4.64}}

Multiply the numbers:

1 \cdot 1500 = 1500

= \frac{1500}{e ^{4.64}}

e^{4.64} = 103.54434 \dots

= \frac{1500}{103.54434 \dots}

Divide the numbers:

\frac{1500}{103.54434 \dots} = 14.48654 \dots

= 14.48654 \dots

(3 - cos (x)) \cdot 45 e^{- 3 x}

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

(1.36 \cdot 1 0^{45}) (1.6 \cdot 1 0^{- 40})

2.269 \cdot 1 0^{- 8} \cdot 0.53

(\frac{4}{5} x^{a}) \cdot (\frac{3}{2} x)