Finite Math Examples

$(\frac{1}{2}) (7.36 \cdot 10^{- 26}) (9.11 \cdot 10^{- 31})$

Step 1

Multiply $10^{- 26}$ by $10^{- 31}$ by adding the exponents.

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Step 1.1

Move $10^{- 31}$ .

$\frac{1}{2} (7.36 \cdot (10^{- 31} \cdot 10^{- 26})) \cdot 9.11$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{2} (7.36 \cdot 10^{- 31 - 26}) \cdot 9.11$

Step 1.3

Subtract $26$ from $- 31$ .

$\frac{1}{2} \cdot 7.36 \cdot 10^{- 57} \cdot 9.11$

Step 2

Multiply $\frac{1}{2} \cdot 7.36 \cdot 10^{- 57}$ .

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Step 2.1

Combine $7.36$ and $\frac{1}{2}$ .

$\frac{7.36}{2} \cdot 10^{- 57} \cdot 9.11$

Step 2.2

Combine $\frac{7.36}{2}$ and $10^{- 57}$ .

$\frac{7.36 \cdot 10^{- 57}}{2} \cdot 9.11$

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.

$(\frac{7.36}{2}) (\frac{10^{- 57}}{1}) \cdot 9.11$

Step 3.2

Divide $7.36$ by $2$ .

$3.68 \frac{10^{- 57}}{1} \cdot 9.11$

Step 3.3

Divide $10^{- 57}$ by $1$ .

$3.68 \cdot 10^{- 57} \cdot 9.11$

Step 4

Multiply $3.68$ by $9.11$ .

$33.5248 \cdot 10^{- 57}$

Step 5

Move the decimal point in $33.5248$ to the left by $1$ place and increase the power of $10^{- 57}$ by $1$ .

$3.35248 \cdot 10^{- 56}$