Simplify (5x^2)^0

${(5 x^{2})}^{0}$

Step 1

Apply the product rule to $5 x^{2}$ .

$5^{0} {(x^{2})}^{0}$

Step 2

Anything raised to $0$ is $1$ .

$1 {(x^{2})}^{0}$

Step 3

Multiply ${(x^{2})}^{0}$ by $1$ .

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

Step 4

Multiply the exponents in ${(x^{2})}^{0}$ .

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

$x^{2 \cdot 0}$

Multiply $2$ by $0$ .

$x^{0}$

Step 5

Anything raised to $0$ is $1$ .

$1$