What is 100e^{(-5.0765x10^{-3})}x^{24} ?

The solution to 100e^{(-5.0765x10^{-3})}x^{24} is (100x^{24})/(e^{0.0050765x)}

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simplify 100e^{(-5.0765x10^{-3})}x^{24}

simplify

100 e^{(- 5.0765 x 1 0^{- 3})} x^{24}

\frac{100 x ^{24}}{e ^{0.0050765 x}}

Solution steps

100 e^{(- 5.0765 x \cdot 1 0^{- 3})} x^{24}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{1 0^{- 3} \cdot 5.0765 x}} x^{24}

\frac{1}{e ^{5.0765 x \cdot 1 0^{- 3}}} = \frac{1}{e ^{0.0050765 x}}

= 100 \cdot \frac{1}{e ^{0.0050765 x}} x^{24}

Multiply fractions:

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

= \frac{1 \cdot 100 x ^{24}}{e ^{0.0050765 x}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100 x ^{24}}{e ^{0.0050765 x}}

21 (0.5) L^{- 0.5} K^{0.5}

1.26 \cdot 1 0^{- 13}

2 e^{x} \cdot 2 e^{- x}

(cos (x))^{- \frac{1}{2}}

What is 100e^{(-5.0765x10^{-3})}x^{24} ?
The solution to 100e^{(-5.0765x10^{-3})}x^{24} is (100x^{24})/(e^{0.0050765x)}