What is 3e^8*6.63e^{-34} ?

The solution to 3e^8*6.63e^{-34} is 1.0162E-10

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simplify 3e^8*6.63e^{-34}

simplify

3 e^{8} \cdot 6.63 e^{- 34}

1.0162 E - 10

Solution steps

3 e^{8} \cdot 6.63 e^{- 34}

Apply exponent rule:

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

e^{8} e^{- 34} = e^{8 - 34}

= 3 \cdot 6.63 e^{8 - 34}

Subtract the numbers:

8 - 34 = - 26

= 3 \cdot 6.63 e^{- 26}

Apply exponent rule:

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

e^{- 26} = \frac{1}{e ^{26}}

= 3 \cdot 6.63 \cdot \frac{1}{e ^{26}}

Multiply fractions:

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

= 6.63 \cdot \frac{1 \cdot 3}{e ^{26}}

Multiply the numbers:

1 \cdot 3 = 3

= 6.63 \cdot \frac{3}{e ^{26}}

Multiply fractions:

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

= \frac{3 \cdot 6.63}{e ^{26}}

Multiply the numbers:

3 \cdot 6.63 = 19.89

= \frac{19.89}{e ^{26}}

Convert element to a decimal form

e^{26} = 195729609428.8385

= \frac{19.89}{195729609428.8385}

Divide the numbers:

\frac{19.89}{195729609428.8385} = 1.0162 E - 10

= 1.0162 E - 10

(2 w^{5}) (8 w^{8}) (5 w^{7})

(3.2 x 1 0^{- 4}) (2.1 x 1 0^{- 3})

(2 p^{3}) \cdot p^{3}

3 (- 2) e^{- 5 (3)}

e^{- 1650.6}