Simplify ((60x^10y^7)/(5x^4y^3))^2

${(\frac{60 x^{10} y^{7}}{5 x^{4} y^{3}})}^{2}$

Cancel the common factor of $60$ and $5$ .

Factor $5$ out of $60 x^{10} y^{7}$ .

${(\frac{5 (12 x^{10} y^{7})}{5 x^{4} y^{3}})}^{2}$

Cancel the common factors.

Factor $5$ out of $5 x^{4} y^{3}$ .

${(\frac{5 (12 x^{10} y^{7})}{5 (x^{4} y^{3})})}^{2}$

Cancel the common factor.

${(\frac{5 (12 x^{10} y^{7})}{5 (x^{4} y^{3})})}^{2}$

Rewrite the expression.

${(\frac{12 x^{10} y^{7}}{x^{4} y^{3}})}^{2}$

Cancel the common factor of $x^{10}$ and $x^{4}$ .

Factor $x^{4}$ out of $12 x^{10} y^{7}$ .

${(\frac{x^{4} (12 x^{6} y^{7})}{x^{4} y^{3}})}^{2}$

Cancel the common factors.

Factor $x^{4}$ out of $x^{4} y^{3}$ .

${(\frac{x^{4} (12 x^{6} y^{7})}{x^{4} (y^{3})})}^{2}$

Cancel the common factor.

${(\frac{x^{4} (12 x^{6} y^{7})}{x^{4} y^{3}})}^{2}$

Rewrite the expression.

${(\frac{12 x^{6} y^{7}}{y^{3}})}^{2}$

Cancel the common factor of $y^{7}$ and $y^{3}$ .

Factor $y^{3}$ out of $12 x^{6} y^{7}$ .

${(\frac{y^{3} (12 x^{6} y^{4})}{y^{3}})}^{2}$

Cancel the common factors.

Multiply by $1$ .

${(\frac{y^{3} (12 x^{6} y^{4})}{y^{3} \cdot 1})}^{2}$

Cancel the common factor.

${(\frac{y^{3} (12 x^{6} y^{4})}{y^{3} \cdot 1})}^{2}$

Rewrite the expression.

${(\frac{12 x^{6} y^{4}}{1})}^{2}$

Divide $12 x^{6} y^{4}$ by $1$ .

${(12 x^{6} y^{4})}^{2}$

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

Apply the product rule to $12 x^{6} y^{4}$ .

${(12 x^{6})}^{2} {(y^{4})}^{2}$

Apply the product rule to $12 x^{6}$ .

$12^{2} {(x^{6})}^{2} {(y^{4})}^{2}$

Raise $12$ to the power of $2$ .

$144 {(x^{6})}^{2} {(y^{4})}^{2}$

Multiply the exponents in ${(x^{6})}^{2}$ .

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

$144 x^{6 \cdot 2} {(y^{4})}^{2}$

Multiply $6$ by $2$ .

$144 x^{12} {(y^{4})}^{2}$

Multiply the exponents in ${(y^{4})}^{2}$ .

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

$144 x^{12} y^{4 \cdot 2}$

Multiply $4$ by $2$ .

$144 x^{12} y^{8}$

Simplify ((60x^10y^7)/(5x^4y^3))^2

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