Finite Math Examples

${(\frac{- 3 a^{4}}{b})}^{b}$

Step 1

Move the negative in front of the fraction.

${(- \frac{3 a^{4}}{b})}^{b}$

Step 2

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 2.1

Apply the product rule to $- \frac{3 a^{4}}{b}$ .

${(- 1)}^{b} {(\frac{3 a^{4}}{b})}^{b}$

Step 2.2

Apply the product rule to $\frac{3 a^{4}}{b}$ .

${(- 1)}^{b} \frac{{(3 a^{4})}^{b}}{b^{b}}$

Step 2.3

Apply the product rule to $3 a^{4}$ .

${(- 1)}^{b} \frac{3^{b} {(a^{4})}^{b}}{b^{b}}$

Step 3

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

${(- 1)}^{b} \frac{3^{b} a^{4 b}}{b^{b}}$

Step 4

Multiply ${(- 1)}^{b} \frac{3^{b} a^{4 b}}{b^{b}}$ .

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Step 4.1

Combine ${(- 1)}^{b}$ and $\frac{3^{b} a^{4 b}}{b^{b}}$ .

$\frac{{(- 1)}^{b} (3^{b} a^{4 b})}{b^{b}}$

Step 4.2

Rewrite $3^{b} {(- 1)}^{b}$ as ${(3 \cdot - 1)}^{b}$ .

$\frac{{(3 \cdot - 1)}^{b} a^{4 b}}{b^{b}}$

Step 4.3

Multiply $3$ by $- 1$ .

$\frac{{(- 3)}^{b} a^{4 b}}{b^{b}}$

Step 5

The polynomial cannot be factored using the specified method. Try a different method, or if you aren't sure, choose Factor.

The polynomial cannot be factored using the specified method.