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Popular >

simplify 10e^{-3}*5e

Solution

simplify

10 e^{- 3} \cdot 5 e

Solution

\frac{50}{e ^{2}}

+1

Decimal Notation

6.76676 \dots

Solution steps

10 e^{- 3} \cdot 5 e

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 3} e = e^{- 3 + 1}

= 10 \cdot 5 e^{- 3 + 1}

Add/Subtract the numbers:

- 3 + 1 = - 2

= 10 \cdot 5 e^{- 2}

Apply exponent rule:

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

e^{- 2} = \frac{1}{e ^{2}}

= 10 \cdot 5 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 10 \cdot 5}{e ^{2}}

Multiply the numbers:

1 \cdot 10 \cdot 5 = 50

= \frac{50}{e ^{2}}

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Frequently Asked Questions (FAQ)

What is 10e^{-3}*5e ?
The solution to 10e^{-3}*5e is (50)/(e^2)