Simplify (x^2x^3)^0

${(x^{2} x^{3})}^{0}$

Step 1

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

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

${(x^{2 + 3})}^{0}$

Add $2$ and $3$ .

${(x^{5})}^{0}$

Step 2

Multiply the exponents in ${(x^{5})}^{0}$ .

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

$x^{5 \cdot 0}$

Multiply $5$ by $0$ .

$x^{0}$

Step 3

Anything raised to $0$ is $1$ .

$1$