Basic Math Examples

w = e \cdot (p {(\frac{t}{n})}^{b})

$w = e \cdot (p {(\frac{t}{n})}^{b})$

Step 1

Rewrite the equation as

e \cdot (p {(\frac{t}{n})}^{b}) = w

$e \cdot (p {(\frac{t}{n})}^{b}) = w$ .

e \cdot (p {(\frac{t}{n})}^{b}) = w

$e \cdot (p {(\frac{t}{n})}^{b}) = w$

Step 2

Simplify

e \cdot (p {(\frac{t}{n})}^{b})

$e \cdot (p {(\frac{t}{n})}^{b})$ .

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Step 2.1

Apply the product rule to

\frac{t}{n}

$\frac{t}{n}$ .

e \cdot (p \frac{t^{b}}{n^{b}}) = w

$e \cdot (p \frac{t^{b}}{n^{b}}) = w$

Step 2.2

Combine

p

$p$ and

\frac{t^{b}}{n^{b}}

$\frac{t^{b}}{n^{b}}$ .

\frac{e p t^{b}}{n^{b}} = w

$\frac{e p t^{b}}{n^{b}} = w$

\frac{e p t^{b}}{n^{b}} = w

$\frac{e p t^{b}}{n^{b}} = w$

Step 3

Multiply each term in

\frac{e p t^{b}}{n^{b}} = w

$\frac{e p t^{b}}{n^{b}} = w$ by

\frac{1}{e}

$\frac{1}{e}$ to eliminate the fractions.

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Step 3.1

Multiply each term in

\frac{e p t^{b}}{n^{b}} = w

$\frac{e p t^{b}}{n^{b}} = w$ by

\frac{1}{e}

$\frac{1}{e}$ .

\frac{e p t^{b}}{n^{b}} \cdot \frac{1}{e} = w \frac{1}{e}

$\frac{e p t^{b}}{n^{b}} \cdot \frac{1}{e} = w \frac{1}{e}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Combine.

\frac{e p t^{b} \cdot 1}{n^{b} e} = w \frac{1}{e}

$\frac{e p t^{b} \cdot 1}{n^{b} e} = w \frac{1}{e}$

Step 3.2.2

Cancel the common factor of

e

$e$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{e p t^{b} \cdot 1}{n^{b} e} = w \frac{1}{e}$

Step 3.2.2.2

Rewrite the expression.

$\frac{p t^{b} \cdot 1}{n^{b}} = w \frac{1}{e}$

Step 3.2.3

Multiply

$p$ by

$1$ .

$\frac{p t^{b}}{n^{b}} = w \frac{1}{e}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Combine

$w$ and

$\frac{1}{e}$ .

$\frac{p t^{b}}{n^{b}} = \frac{w}{e}$