Basic Math Examples

u^{4} \cdot u^{- 6}

$u^{4} \cdot u^{- 6}$

Step 1

Multiply

u^{4}

$u^{4}$ by

u^{- 6}

$u^{- 6}$ by adding the exponents.

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Step 1.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

u^{4 - 6}

$u^{4 - 6}$

Step 1.2

Subtract

6

$6$ from

4

$4$ .

u^{- 2}

$u^{- 2}$

u^{- 2}

$u^{- 2}$

Step 2

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

\frac{1}{u^{2}}

$\frac{1}{u^{2}}$