Basic Math Examples

$(4.1 \cdot 10^{- 2}) (3.6 \cdot \frac{10^{8}}{8.2 \cdot 10^{12}})$

Step 1

Divide using scientific notation.

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Step 1.1

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

$4.1 \cdot 10^{- 2} (3.6 \cdot ((\frac{1}{8.2}) (\frac{10^{8}}{10^{12}})))$

Step 1.2

Divide $1$ by $8.2$ .

$4.1 \cdot 10^{- 2} (3.6 \cdot (0.\overline{12195} \frac{10^{8}}{10^{12}}))$

Step 1.3

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

$4.1 \cdot 10^{- 2} (3.6 \cdot (0.\overline{12195} \cdot 10^{8 + 12 \cdot - 1}))$

Step 1.4

Multiply $12$ by $- 1$ .

$4.1 \cdot 10^{- 2} (3.6 \cdot (0.\overline{12195} \cdot 10^{8 - 12}))$

Step 1.5

Subtract $12$ from $8$ .

$4.1 \cdot 10^{- 2} (3.6 \cdot 0.\overline{12195} \cdot 10^{- 4})$

Step 2

Multiply $3.6$ by $0.\overline{12195}$ .

$4.1 \cdot 10^{- 2} \cdot 0.\overline{43902} \cdot 10^{- 4}$

Step 3

Multiply $4.1$ by $0.\overline{43902}$ .

$1.8 (10^{- 2} \cdot 10^{- 4})$

Step 4

Multiply $10^{- 2}$ by $10^{- 4}$ by adding the exponents.

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Step 4.1

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

$1.8 \cdot 10^{- 2 - 4}$

Step 4.2

Subtract $4$ from $- 2$ .

$1.8 \cdot 10^{- 6}$