Algebra Examples

$\frac{(8.76 \cdot 10^{9}) (6.52 \cdot 10^{- 3})}{13.27 \cdot 10^{5}}$

Step 1

Multiply $8.76$ by $6.52$ .

$\frac{57.1152 (10^{9} \cdot 10^{- 3})}{13.27 \cdot 10^{5}}$

Step 2

Multiply $10^{9}$ by $10^{- 3}$ 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.

$\frac{57.1152 \cdot 10^{9 - 3}}{13.27 \cdot 10^{5}}$

Step 2.2

Subtract $3$ from $9$ .

$\frac{57.1152 \cdot 10^{6}}{13.27 \cdot 10^{5}}$

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.

$(\frac{57.1152}{13.27}) (\frac{10^{6}}{10^{5}})$

Step 3.2

Divide $57.1152$ by $13.27$ .

$4.3040844 \frac{10^{6}}{10^{5}}$

Step 3.3

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

$4.3040844 \cdot 10^{6 + 5 \cdot - 1}$

Step 3.4

Multiply $5$ by $- 1$ .

$4.3040844 \cdot 10^{6 - 5}$

Step 3.5

Subtract $5$ from $6$ .

$4.3040844 \cdot 10^{1}$