What is 1.013x10^5e^{-0.116(20)} ?

The solution to 1.013x10^5e^{-0.116(20)} is 9955.11422…x

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simplify 1.013x10^5e^{-0.116(20)}

simplify

1.013 x 1 0^{5} e^{- 0.116 (20)}

9955.11422 \dots x

Solution steps

1.013 x \cdot 1 0^{5} e^{- 0.116 (20)}

Apply exponent rule:

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

= 1 0^{5} \cdot 1.013 \cdot \frac{1}{e ^{20 \cdot 0.116}} x

Multiply the numbers:

0.116 \cdot 20 = 2.32

= 1 0^{5} \cdot 1.013 \cdot \frac{1}{e ^{2.32}} x

Multiply fractions:

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

= 1.013 \cdot \frac{1 0 ^{5} \cdot 1 \cdot x}{e ^{2.32}}

Simplify

\frac{1 \cdot x \cdot 1 0 ^{5}}{e ^{2.32}} : 9827.35856 \dots x

= 1.013 \cdot 9827.35856 \dots x

Multiply the numbers:

1.013 \cdot 9827.35856 \dots = 9955.11422 \dots

= 9955.11422 \dots x

- 6 x^{5} y^{5}

1.124 \cdot 1 0^{- 3}

x^{3} y^{6} z^{3}

3.1152 \cdot 1 0^{- 3}

What is 1.013x10^5e^{-0.116(20)} ?
The solution to 1.013x10^5e^{-0.116(20)} is 9955.11422…x