Basic Math Examples

$\frac{o b {(1 - n)}^{b - 1} e^{g} h^{d}}{\frac{1}{2} \cdot (o {(1 - n)}^{b} e^{g} h^{d})}$

Step 1

Cancel the common factor of $o$ .

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Step 1.1

Cancel the common factor.

$\frac{o b {(1 - n)}^{b - 1} e^{g} h^{d}}{\frac{1}{2} \cdot (o {(1 - n)}^{b} e^{g} h^{d})}$

Step 1.2

Rewrite the expression.

$\frac{b {(1 - n)}^{b - 1} e^{g} h^{d}}{\frac{1}{2} \cdot ({(1 - n)}^{b} e^{g} h^{d})}$

Step 2

Cancel the common factor of ${(1 - n)}^{b - 1}$ and ${(1 - n)}^{b}$ .

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Step 2.1

Factor ${(1 - n)}^{b}$ out of $b {(1 - n)}^{b - 1} e^{g} h^{d}$ .

$\frac{{(1 - n)}^{b} (b {(1 - n)}^{- 1} e^{g} h^{d})}{\frac{1}{2} \cdot ({(1 - n)}^{b} e^{g} h^{d})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor ${(1 - n)}^{b}$ out of $\frac{1}{2} \cdot ({(1 - n)}^{b} e^{g} h^{d})$ .

$\frac{{(1 - n)}^{b} (b {(1 - n)}^{- 1} e^{g} h^{d})}{{(1 - n)}^{b} (\frac{1}{2} \cdot (e^{g} h^{d}))}$

Step 2.2.2

Cancel the common factor.

$\frac{{(1 - n)}^{b} (b {(1 - n)}^{- 1} e^{g} h^{d})}{{(1 - n)}^{b} (\frac{1}{2} \cdot (e^{g} h^{d}))}$

Step 2.2.3

Rewrite the expression.

$\frac{b {(1 - n)}^{- 1} e^{g} h^{d}}{\frac{1}{2} \cdot (e^{g} h^{d})}$

Step 3

Cancel the common factor of $e^{g}$ .

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Step 3.1

Cancel the common factor.

$\frac{b {(1 - n)}^{- 1} e^{g} h^{d}}{\frac{1}{2} \cdot (e^{g} h^{d})}$

Step 3.2

Rewrite the expression.

$\frac{b {(1 - n)}^{- 1} h^{d}}{\frac{1}{2} \cdot (h^{d})}$

Step 4

Cancel the common factor of $h^{d}$ .

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Step 4.1

Cancel the common factor.

$\frac{b {(1 - n)}^{- 1} h^{d}}{\frac{1}{2} \cdot h^{d}}$

Step 4.2

Rewrite the expression.

$\frac{b {(1 - n)}^{- 1}}{\frac{1}{2}}$

Step 5

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

$\frac{b}{\frac{1}{2} (1 - n)}$

Step 6

Factor $\frac{1}{2}$ out of $\frac{b}{\frac{1}{2} (1 - n)}$ .

$2 \frac{b}{1 - n}$

Step 7

Combine $2$ and $\frac{b}{1 - n}$ .

$\frac{2 b}{1 - n}$