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Popular >

simplify 5e^{-10^3(0)}*10^{-3}

Solution

simplify

5 e^{- 1 0^{3} (0)} \cdot 1 0^{- 3}

Solution

\frac{1}{200}

+1

Decimal Notation

0.005

Solution steps

5 e^{- 1 0^{3} (0)} \cdot 1 0^{- 3}

Apply exponent rule:

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

= 1 0^{- 3} \cdot 5 \cdot \frac{1}{e ^{1 0^{3} \cdot 0}}

Apply exponent rule:

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

= 5 \cdot \frac{1}{1 0 ^{3}} \cdot \frac{1}{e ^{1 0^{3} \cdot 0}}

\frac{1}{e ^{1 0^{3} \cdot 0}} = 1

= 5 \cdot 1 \cdot \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= 1 \cdot \frac{1 \cdot 5}{1 0 ^{3}}

\frac{1 \cdot 5}{1 0 ^{3}} = \frac{1}{200}

= 1 \cdot \frac{1}{200}

Multiply:

1 \cdot \frac{1}{200} = \frac{1}{200}

= \frac{1}{200}

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Frequently Asked Questions (FAQ)

What is 5e^{-10^3(0)}*10^{-3} ?
The solution to 5e^{-10^3(0)}*10^{-3} is 1/200