Finite Math Examples

$\frac{4.34 x \cdot 10^{- 7}}{1.0968 x \cdot 10^{7}}$

Step 1

Move $10^{- 7}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{4.34 x}{1.0968 x \cdot 10^{7} \cdot 10^{7}}$

Step 2

Multiply $10^{7}$ by $10^{7}$ by adding the exponents.

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Step 2.1

Move $10^{7}$ .

$\frac{4.34 x}{1.0968 x \cdot (10^{7} \cdot 10^{7})}$

Step 2.2

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

$\frac{4.34 x}{1.0968 x \cdot 10^{7 + 7}}$

Step 2.3

Add $7$ and $7$ .

$\frac{4.34 x}{1.0968 x \cdot 10^{14}}$

Step 3

Cancel the common factor of $x$ .

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Step 3.1

Cancel the common factor.

$\frac{4.34 x}{1.0968 x \cdot 10^{14}}$

Step 3.2

Rewrite the expression.

$\frac{4.34}{1.0968 \cdot 10^{14}}$

Step 4

Divide using scientific notation.

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Step 4.1

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

$(\frac{4.34}{1.0968}) (\frac{1}{10^{14}})$

Step 4.2

Divide $4.34$ by $1.0968$ .

$3.95696571 \frac{1}{10^{14}}$

Step 4.3

Move $10^{14}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$3.95696571 \cdot 10^{- 14}$