Algebra Examples

$\frac{1.2 \cdot 10^{- 6} \cdot 8 \cdot 10^{- 4}}{3 \cdot 10^{- 3}}$

Step 1

Multiply $1.2$ by $8$ .

$\frac{9.6 (10^{- 6} \cdot 10^{- 4})}{3 \cdot 10^{- 3}}$

Step 2

Multiply $10^{- 6}$ by $10^{- 4}$ 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.

$\frac{9.6 \cdot 10^{- 6 - 4}}{3 \cdot 10^{- 3}}$

Step 2.2

Subtract $4$ from $- 6$ .

$\frac{9.6 \cdot 10^{- 10}}{3 \cdot 10^{- 3}}$

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.

$(\frac{9.6}{3}) (\frac{10^{- 10}}{10^{- 3}})$

Step 3.2

Divide $9.6$ by $3$ .

$3.2 \frac{10^{- 10}}{10^{- 3}}$

Step 3.3

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

$3.2 \cdot 10^{- 10 - 3 \cdot - 1}$

Step 3.4

Multiply $- 3$ by $- 1$ .

$3.2 \cdot 10^{- 10 + 3}$

Step 3.5

Add $- 10$ and $3$ .

$3.2 \cdot 10^{- 7}$