Simplify (x^3*x^2)^5

${(x^{3} \cdot x^{2})}^{5}$

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(x^{3 + 2})}^{5}$

Add $3$ and $2$ .

${(x^{5})}^{5}$

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

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

$x^{5 \cdot 5}$

Multiply $5$ by $5$ .

$x^{25}$