Simplify (x^3y^2)^3

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

Step 1

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

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

Step 2

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

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

$x^{3 \cdot 3} {(y^{2})}^{3}$

Multiply $3$ by $3$ .

$x^{9} {(y^{2})}^{3}$

Step 3

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

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

$x^{9} y^{2 \cdot 3}$

Multiply $2$ by $3$ .

$x^{9} y^{6}$