What is (150m)(1.999e^{-6}) ?

The solution to (150m)(1.999e^{-6}) is 0.74325…m

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simplify (150m)(1.999e^{-6})

simplify

(150 m) (1.999 e^{- 6})

0.74325 \dots m

Solution steps

(150 m) (1.999 e^{- 6})

Apply exponent rule:

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

= 150 \cdot 1.999 \cdot \frac{1}{e ^{6}} m

Multiply fractions:

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

= 1.999 \cdot \frac{1 \cdot 150 m}{e ^{6}}

Multiply the numbers:

1 \cdot 150 = 150

= 1.999 \cdot \frac{150 m}{e ^{6}}

Multiply fractions:

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

= \frac{150 m \cdot 1.999}{e ^{6}}

Multiply the numbers:

150 \cdot 1.999 = 299.85

= \frac{299.85 m}{e ^{6}}

Convert element to a decimal form

e^{6} = 403.42879 \dots

= \frac{299.85 m}{403.42879 \dots}

Divide the numbers:

\frac{299.85}{403.42879 \dots} = 0.74325 \dots

= 0.74325 \dots m

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