Simplify (ab^2)^0

${(a b^{2})}^{0}$

Step 1

Apply the product rule to $a b^{2}$ .

$a^{0} {(b^{2})}^{0}$

Step 2

Anything raised to $0$ is $1$ .

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

Step 3

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

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

Step 4

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

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

$b^{2 \cdot 0}$

Multiply $2$ by $0$ .

$b^{0}$

Step 5

Anything raised to $0$ is $1$ .

$1$