Finite Math Examples

$\frac{3 \cdot 10^{9} \cdot 5.76 \cdot 10^{- 12}}{49.08 \cdot 10^{5}}$

Step 1

Multiply $3$ by $5.76$ .

$\frac{17.28 (10^{9} \cdot 10^{- 12})}{49.08 \cdot 10^{5}}$

Step 2

Multiply $10^{9}$ by $10^{- 12}$ 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.

$\frac{17.28 \cdot 10^{9 - 12}}{49.08 \cdot 10^{5}}$

Step 2.2

Subtract $12$ from $9$ .

$\frac{17.28 \cdot 10^{- 3}}{49.08 \cdot 10^{5}}$

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.

$(\frac{17.28}{49.08}) (\frac{10^{- 3}}{10^{5}})$

Step 3.2

Divide $17.28$ by $49.08$ .

$0.35207823 \frac{10^{- 3}}{10^{5}}$

Step 3.3

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

$0.35207823 \cdot 10^{- 3 + 5 \cdot - 1}$

Step 3.4

Multiply $5$ by $- 1$ .

$0.35207823 \cdot 10^{- 3 - 5}$

Step 3.5

Subtract $5$ from $- 3$ .

$0.35207823 \cdot 10^{- 8}$

Step 4

Move the decimal point in $0.35207823$ to the right by $1$ place and decrease the power of $10^{- 8}$ by $1$ .

$3.52078239 \cdot 10^{- 9}$