Basic Math Examples

$\frac{(13.8 \cdot 10^{- 10}) (2 \cdot 10^{7})}{4.6 \cdot 10^{4}}$

Step 1

Multiply $13.8$ by $2$ .

$\frac{27.6 (10^{- 10} \cdot 10^{7})}{4.6 \cdot 10^{4}}$

Step 2

Multiply $10^{- 10}$ by $10^{7}$ 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.

$\frac{27.6 \cdot 10^{- 10 + 7}}{4.6 \cdot 10^{4}}$

Step 2.2

Add $- 10$ and $7$ .

$\frac{27.6 \cdot 10^{- 3}}{4.6 \cdot 10^{4}}$

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.

$(\frac{27.6}{4.6}) (\frac{10^{- 3}}{10^{4}})$

Step 3.2

Divide $27.6$ by $4.6$ .

$6 \frac{10^{- 3}}{10^{4}}$

Step 3.3

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

$6 \cdot 10^{- 3 + 4 \cdot - 1}$

Step 3.4

Multiply $4$ by $- 1$ .

$6 \cdot 10^{- 3 - 4}$

Step 3.5

Subtract $4$ from $- 3$ .

$6 \cdot 10^{- 7}$