Finite Math Examples

${(x^{6} y^{5})}^{- 4}$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

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

$\frac{1}{{(x^{6} y^{5})}^{4}}$

Step 1.2

Simplify the denominator.

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Step 1.2.1

Apply the product rule to $x^{6} y^{5}$ .

$\frac{1}{{(x^{6})}^{4} {(y^{5})}^{4}}$

Step 1.2.2

Multiply the exponents in ${(x^{6})}^{4}$ .

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Step 1.2.2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{1}{x^{6 \cdot 4} {(y^{5})}^{4}}$

Step 1.2.2.2

Multiply $6$ by $4$ .

$\frac{1}{x^{24} {(y^{5})}^{4}}$

Step 1.2.3

Multiply the exponents in ${(y^{5})}^{4}$ .

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Step 1.2.3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{1}{x^{24} y^{5 \cdot 4}}$

Step 1.2.3.2

Multiply $5$ by $4$ .

$\frac{1}{x^{24} y^{20}}$

Step 2

The degree cannot be determined because $\frac{1}{x^{24} y^{20}}$ is not a polynomial.

Not a polynomial