Algebra Examples

$x^{- 5} x + 6$

Step 1

Multiply $x^{- 5}$ by $x$ by adding the exponents.

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Step 1.1

Multiply $x^{- 5}$ by $x$ .

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Step 1.1.1

Raise $x$ to the power of $1$ .

$x^{- 5} x^{1} + 6$

Step 1.1.2

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

$x^{- 5 + 1} + 6$

Step 1.2

Add $- 5$ and $1$ .

$x^{- 4} + 6$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{4}} + 6$