Simplify ((15y^5)/(3y^2))^2

${(\frac{15 y^{5}}{3 y^{2}})}^{2}$

Cancel the common factor of $15$ and $3$ .

Factor $3$ out of $15 y^{5}$ .

${(\frac{3 (5 y^{5})}{3 y^{2}})}^{2}$

Cancel the common factors.

Factor $3$ out of $3 y^{2}$ .

${(\frac{3 (5 y^{5})}{3 (y^{2})})}^{2}$

Cancel the common factor.

${(\frac{3 (5 y^{5})}{3 y^{2}})}^{2}$

Rewrite the expression.

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

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

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

Cancel the common factor of $y^{5}$ and $y^{2}$ .

Factor $y^{2}$ out of $5 y^{5}$ .

${(\frac{y^{2} (5 y^{3})}{y^{2}})}^{2}$

Cancel the common factors.

Multiply by $1$ .

${(\frac{y^{2} (5 y^{3})}{y^{2} \cdot 1})}^{2}$

Cancel the common factor.

${(\frac{y^{2} (5 y^{3})}{y^{2} \cdot 1})}^{2}$

Rewrite the expression.

${(\frac{5 y^{3}}{1})}^{2}$

Divide $5 y^{3}$ by $1$ .

${(5 y^{3})}^{2}$

${(5 y^{3})}^{2}$

${(5 y^{3})}^{2}$

Simplify the expression.

Apply the product rule to $5 y^{3}$ .

$5^{2} {(y^{3})}^{2}$

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

$25 {(y^{3})}^{2}$

Multiply the exponents in ${(y^{3})}^{2}$ .

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

$25 y^{3 \cdot 2}$

Multiply $3$ by $2$ .

$25 y^{6}$

$25 y^{6}$

$25 y^{6}$

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