What is 7e^{-6}*2e^3 ?

The solution to 7e^{-6}*2e^3 is (14)/(e^3)

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simplify 7e^{-6}*2e^3

simplify

7 e^{- 6} \cdot 2 e^{3}

\frac{14}{e ^{3}}

Decimal Notation

0.69701 \dots

Solution steps

7 e^{- 6} \cdot 2 e^{3}

Apply exponent rule:

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

e^{- 6} e^{3} = e^{- 6 + 3}

= 7 \cdot 2 e^{- 6 + 3}

Add/Subtract the numbers:

- 6 + 3 = - 3

= 7 \cdot 2 e^{- 3}

Apply exponent rule:

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

e^{- 3} = \frac{1}{e ^{3}}

= 7 \cdot 2 \cdot \frac{1}{e ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 7 \cdot 2}{e ^{3}}

Multiply the numbers:

1 \cdot 7 \cdot 2 = 14

= \frac{14}{e ^{3}}

\frac{- 54}{- 9}

6^{\frac{3}{2}} x^{\frac{3}{2}}

(x + y)^{4} (x - y)^{4}

(4 x^{3} y^{2}) (5 y^{3})

372.26 \cdot 1 0^{- 7}