Basic Math Examples

$\frac{8 w^{4} e^{2} z^{0}}{3 w^{- 5} e^{- 10}}$

Step 1

Move $w^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{8 w^{4} e^{2} z^{0} w^{5}}{3 e^{- 10}}$

Step 2

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

$\frac{8 w^{4} e^{2} z^{0} w^{5} e^{10}}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $w^{4}$ by $w^{5}$ by adding the exponents.

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Step 3.1.1

Move $w^{5}$ .

$\frac{8 (w^{5} w^{4}) e^{2} z^{0} e^{10}}{3}$

Step 3.1.2

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

$\frac{8 w^{5 + 4} e^{2} z^{0} e^{10}}{3}$

Step 3.1.3

Add $5$ and $4$ .

$\frac{8 w^{9} e^{2} z^{0} e^{10}}{3}$

Step 3.2

Simplify $8 w^{9} e^{2} z^{0}$ .

$\frac{8 w^{9} e^{2} e^{10}}{3}$

Step 3.3

Multiply $e^{2}$ by $e^{10}$ by adding the exponents.

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Step 3.3.1

Move $e^{10}$ .

$\frac{8 w^{9} (e^{10} e^{2})}{3}$

Step 3.3.2

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

$\frac{8 w^{9} e^{10 + 2}}{3}$

Step 3.3.3

Add $10$ and $2$ .

$\frac{8 w^{9} e^{12}}{3}$