Calculus Examples

$\frac{6.626 \cdot 10^{- 34}}{1.673 \cdot 10^{- 27} \cdot 2.91 \cdot 10^{8}} \frac{m}{s}$

Step 1

Multiply $1.673$ by $2.91$ .

$\frac{6.626 \cdot 10^{- 34}}{4.86843 (10^{- 27} \cdot 10^{8})} \frac{m}{s}$

Step 2

Multiply $10^{- 27}$ by $10^{8}$ by adding the exponents.

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Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{6.626 \cdot 10^{- 34}}{4.86843 \cdot 10^{- 27 + 8}} \frac{m}{s}$

Step 2.2

Add $- 27$ and $8$ .

$\frac{6.626 \cdot 10^{- 34}}{4.86843 \cdot 10^{- 19}} \frac{m}{s}$

Step 3

Divide using scientific notation.

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Step 3.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{6.626}{4.86843}) (\frac{10^{- 34}}{10^{- 19}}) \frac{m}{s}$

Step 3.2

Divide $6.626$ by $4.86843$ .

$1.36101371 \frac{10^{- 34}}{10^{- 19}} \frac{m}{s}$

Step 3.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$1.36101371 \cdot 10^{- 34 - 19 \cdot - 1} \frac{m}{s}$

Step 3.4

Multiply $- 19$ by $- 1$ .

$1.36101371 \cdot 10^{- 34 + 19} \frac{m}{s}$

Step 3.5

Add $- 34$ and $19$ .

$1.36101371 \cdot 10^{- 15} \frac{m}{s}$

Step 4

Convert $1.36101371 \cdot 10^{- 15}$ to decimal.

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Step 4.1

Raise $10$ to the power of $- 15$ .

$1.36101371 \cdot 0 \frac{m}{s}$

Step 4.2

Multiply $1.36101371$ by $0$ .

$0 \frac{m}{s}$