What is (7.16xe^{14})6.626xe^{-34} ?

The solution to (7.16xe^{14})6.626xe^{-34} is 9.77856E-8x^2

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simplify (7.16xe^{14})6.626xe^{-34}

simplify

(7.16 x e^{14}) 6.626 x e^{- 34}

9.77856 E - 8 x^{2}

Solution steps

(7.16 x e^{14}) \cdot 6.626 x e^{- 34}

Apply exponent rule:

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

e^{14} e^{- 34} = e^{14 - 34}

= 7.16 x \cdot 6.626 x e^{14 - 34}

Subtract the numbers:

14 - 34 = - 20

= 7.16 x \cdot 6.626 x e^{- 20}

Apply exponent rule:

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

xx = x^{1 + 1}

= 7.16 \cdot 6.626 x^{1 + 1} e^{- 20}

Add the numbers:

1 + 1 = 2

= 7.16 \cdot 6.626 x^{2} e^{- 20}

Apply exponent rule:

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

e^{- 20} = \frac{1}{e ^{20}}

= 6.626 \cdot 7.16 \cdot \frac{1}{e ^{20}} x^{2}

Multiply fractions:

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

= 6.626 \cdot 7.16 \cdot \frac{1 \cdot x ^{2}}{e ^{20}}

Refine

= 47.44216 \cdot \frac{x ^{2}}{e ^{20}}

Multiply fractions:

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

= \frac{x ^{2} \cdot 47.44216}{e ^{20}}

Convert element to a decimal form

e^{20} = 485165195.40978 \dots

= \frac{47.44216 x ^{2}}{485165195.40978 \dots}

Divide the numbers:

\frac{47.44216}{485165195.40978 \dots} = 9.77856 E - 8

= 9.77856 E - 8 x^{2}

2.69194 \cdot 1 0^{- 6}

1.6 \cdot 1 0^{- 8} \cdot 30

(2 k^{2}) (7 k^{3})

6.89 \cdot 1 0^{- 3}

e^{- 4} \cdot e^{4}

What is (7.16xe^{14})6.626xe^{-34} ?
The solution to (7.16xe^{14})6.626xe^{-34} is 9.77856E-8x^2