Basic Math Examples

\frac{x}{x^{- 7}}

$\frac{x}{x^{- 7}}$

Step 1

Move

x^{- 7}

$x^{- 7}$ to the numerator using the negative exponent rule

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

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

x \cdot x^{7}

$x \cdot x^{7}$

Step 2

Multiply

x

$x$ by

x^{7}

$x^{7}$ by adding the exponents.

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Step 2.1

Multiply

x

$x$ by

x^{7}

$x^{7}$ .

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Step 2.1.1

Raise

x

$x$ to the power of

1

$1$ .

x^{1} x^{7}

$x^{1} x^{7}$

Step 2.1.2

Use the power rule

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

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

x^{1 + 7}

$x^{1 + 7}$

x^{1 + 7}

$x^{1 + 7}$

Step 2.2

Add

1

$1$ and

7

$7$ .

x^{8}

$x^{8}$

x^{8}

$x^{8}$