Finite Math Examples

$8 {(x^{2} y^{3})}^{\frac{4}{3}}$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Apply the product rule to $x^{2} y^{3}$ .

$8 ({(x^{2})}^{\frac{4}{3}} {(y^{3})}^{\frac{4}{3}})$

Step 1.2

Multiply the exponents in ${(x^{2})}^{\frac{4}{3}}$ .

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Step 1.2.1

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

$8 (x^{2 (\frac{4}{3})} {(y^{3})}^{\frac{4}{3}})$

Step 1.2.2

Multiply $2 (\frac{4}{3})$ .

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Step 1.2.2.1

Combine $2$ and $\frac{4}{3}$ .

$8 (x^{\frac{2 \cdot 4}{3}} {(y^{3})}^{\frac{4}{3}})$

Step 1.2.2.2

Multiply $2$ by $4$ .

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

Step 1.3

Multiply the exponents in ${(y^{3})}^{\frac{4}{3}}$ .

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Step 1.3.1

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

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

Step 1.3.2

Cancel the common factor of $3$ .

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Step 1.3.2.1

Cancel the common factor.

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

Step 1.3.2.2

Rewrite the expression.

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

Step 1.4

Reorder factors in $8 x^{\frac{8}{3}} y^{4}$ .

$8 y^{4} x^{\frac{8}{3}}$

Step 2

The degree cannot be determined because $8 y^{4} x^{\frac{8}{3}}$ is not a polynomial.

Not a polynomial