Algebra Examples

${(6^{2} - 24)}^{2} \div {(\frac{x}{y})}^{- 5}$

Step 1

Rewrite the division as a fraction.

$\frac{{(6^{2} - 24)}^{2}}{{(\frac{x}{y})}^{- 5}}$

Step 2

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

${(6^{2} - 24)}^{2} {(\frac{x}{y})}^{5}$

Step 3

Simplify the expression.

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Step 3.1

Raise $6$ to the power of $2$ .

${(36 - 24)}^{2} {(\frac{x}{y})}^{5}$

Step 3.2

Subtract $24$ from $36$ .

$12^{2} {(\frac{x}{y})}^{5}$

Step 3.3

Raise $12$ to the power of $2$ .

$144 {(\frac{x}{y})}^{5}$

Step 3.4

Apply the product rule to $\frac{x}{y}$ .

$144 \frac{x^{5}}{y^{5}}$

Step 4

Combine $144$ and $\frac{x^{5}}{y^{5}}$ .

$\frac{144 x^{5}}{y^{5}}$