Algebra Examples

$\frac{c^{- 2} d^{- 1}}{c^{7} d^{- 2}}$

Step 1

Move $c^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{d^{- 1}}{c^{7} d^{- 2} c^{2}}$

Step 2

Multiply $c^{7}$ by $c^{2}$ by adding the exponents.

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Step 2.1

Move $c^{2}$ .

$\frac{d^{- 1}}{c^{2} c^{7} d^{- 2}}$

Step 2.2

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

$\frac{d^{- 1}}{c^{2 + 7} d^{- 2}}$

Step 2.3

Add $2$ and $7$ .

$\frac{d^{- 1}}{c^{9} d^{- 2}}$

Step 3

Move $d^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{d^{- 1} d^{2}}{c^{9}}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $d^{- 1}$ by $d^{2}$ by adding the exponents.

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Step 4.1.1

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

$\frac{d^{- 1 + 2}}{c^{9}}$

Step 4.1.2

Add $- 1$ and $2$ .

$\frac{d^{1}}{c^{9}}$

Step 4.2

Simplify $d^{1}$ .

$\frac{d}{c^{9}}$