Pre-Algebra Examples

$\frac{(6.9 \cdot 10^{- 8}) \cdot 4}{2.3 \cdot 10^{4}}$

Step 1

Multiply $6.9$ by $4$ .

$\frac{27.6 \cdot 10^{- 8}}{2.3 \cdot 10^{4}}$

Step 2

Divide using scientific notation.

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Step 2.1

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

$(\frac{27.6}{2.3}) (\frac{10^{- 8}}{10^{4}})$

Step 2.2

Divide $27.6$ by $2.3$ .

$12 \frac{10^{- 8}}{10^{4}}$

Step 2.3

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

$12 \cdot 10^{- 8 + 4 \cdot - 1}$

Step 2.4

Multiply $4$ by $- 1$ .

$12 \cdot 10^{- 8 - 4}$

Step 2.5

Subtract $4$ from $- 8$ .

$12 \cdot 10^{- 12}$

Step 3

Move the decimal point in $12$ to the left by $1$ place and increase the power of $10^{- 12}$ by $1$ .

$1.2 \cdot 10^{- 11}$