Simplify ((w^4)/(-2u^3))^5

${(\frac{w^{4}}{- 2 u^{3}})}^{5}$

Move the negative in front of the fraction.

${(- \frac{w^{4}}{(2) u^{3}})}^{5}$

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

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Apply the product rule to $- \frac{w^{4}}{2 u^{3}}$ .

${(- 1)}^{5} {(\frac{w^{4}}{2 u^{3}})}^{5}$

Apply the product rule to $\frac{w^{4}}{2 u^{3}}$ .

${(- 1)}^{5} \frac{{(w^{4})}^{5}}{{(2 u^{3})}^{5}}$

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

${(- 1)}^{5} \frac{{(w^{4})}^{5}}{2^{5} {(u^{3})}^{5}}$

Simplify the expression.

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Raise $- 1$ to the power of $5$ .

$- \frac{{(w^{4})}^{5}}{2^{5} {(u^{3})}^{5}}$

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

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

$- \frac{w^{4 \cdot 5}}{2^{5} {(u^{3})}^{5}}$

Multiply $4$ by $5$ .

$- \frac{w^{20}}{2^{5} {(u^{3})}^{5}}$

Simplify the denominator.

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Raise $2$ to the power of $5$ .

$- \frac{w^{20}}{32 {(u^{3})}^{5}}$

Multiply the exponents in ${(u^{3})}^{5}$ .

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

$- \frac{w^{20}}{32 u^{3 \cdot 5}}$

Multiply $3$ by $5$ .

$- \frac{w^{20}}{32 u^{15}}$

Simplify ((w^4)/(-2u^3))^5

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