What is (5e^{-9})(3e^6) ?

The solution to (5e^{-9})(3e^6) is (15)/(e^3)

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simplify (5e^{-9})(3e^6)

simplify

(5 e^{- 9}) (3 e^{6})

\frac{15}{e ^{3}}

Decimal Notation

0.74680 \dots

Solution steps

(5 e^{- 9}) (3 e^{6})

Apply exponent rule:

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

e^{- 9} e^{6} = e^{- 9 + 6}

= 5 \cdot 3 e^{- 9 + 6}

Add/Subtract the numbers:

- 9 + 6 = - 3

= 5 \cdot 3 e^{- 3}

Apply exponent rule:

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

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 5 \cdot 3 = 15

= \frac{15}{e ^{3}}

2 \cdot e^{- 2 \cdot (0.75)}

750 e^{- 0.5 x^{3}}

0.012 \cdot 86.6 \cdot 1 0^{- 3}

- 5 x^{- 2} (ln (x))^{4}