Algebra Examples

$\frac{24 x^{- 1}}{8 x^{- 5} y^{7}}$

Step 1

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

$\frac{24 x^{- 1} x^{5}}{8 y^{7}}$

Step 2

Multiply $x^{- 1}$ by $x^{5}$ by adding the exponents.

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Step 2.1

Move $x^{5}$ .

$\frac{24 (x^{5} x^{- 1})}{8 y^{7}}$

Step 2.2

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

$\frac{24 x^{5 - 1}}{8 y^{7}}$

Step 2.3

Subtract $1$ from $5$ .

$\frac{24 x^{4}}{8 y^{7}}$

Step 3

Cancel the common factor of $24$ and $8$ .

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Step 3.1

Factor $8$ out of $24 x^{4}$ .

$\frac{8 (3 x^{4})}{8 y^{7}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $8$ out of $8 y^{7}$ .

$\frac{8 (3 x^{4})}{8 (y^{7})}$

Step 3.2.2

Cancel the common factor.

$\frac{8 (3 x^{4})}{8 y^{7}}$

Step 3.2.3

Rewrite the expression.

$\frac{3 x^{4}}{y^{7}}$