Simplify (5x^2)^0(9x)^2

${(5 x^{2})}^{0} {(9 x)}^{2}$

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

$5^{0} {(x^{2})}^{0} {(9 x)}^{2}$

Anything raised to $0$ is $1$ .

$1 {(x^{2})}^{0} {(9 x)}^{2}$

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

${(x^{2})}^{0} {(9 x)}^{2}$

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

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

$x^{2 \cdot 0} {(9 x)}^{2}$

Multiply $2$ by $0$ .

$x^{0} {(9 x)}^{2}$

Anything raised to $0$ is $1$ .

$1 {(9 x)}^{2}$

Multiply ${(9 x)}^{2}$ by $1$ .

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

Apply the product rule to $9 x$ .

$9^{2} x^{2}$

Raise $9$ to the power of $2$ .

$81 x^{2}$