Simplify (x^4*y^4)^3

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

Step 1

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

${(x^{4})}^{3} {(y^{4})}^{3}$

Step 2

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

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

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

Multiply $4$ by $3$ .

$x^{12} {(y^{4})}^{3}$

Step 3

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

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

$x^{12} y^{4 \cdot 3}$

Multiply $4$ by $3$ .

$x^{12} y^{12}$