Simplify (8o^4p^2q)^0

${(8 o^{4} p^{2} q)}^{0}$

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $8 o^{4} p^{2} q$ .

${(8 o^{4} p^{2})}^{0} q^{0}$

Apply the product rule to $8 o^{4} p^{2}$ .

${(8 o^{4})}^{0} {(p^{2})}^{0} q^{0}$

Apply the product rule to $8 o^{4}$ .

$8^{0} {(o^{4})}^{0} {(p^{2})}^{0} q^{0}$

Anything raised to $0$ is $1$ .

$1 {(o^{4})}^{0} {(p^{2})}^{0} q^{0}$

Multiply ${(o^{4})}^{0}$ by $1$ .

${(o^{4})}^{0} {(p^{2})}^{0} q^{0}$

Multiply the exponents in ${(o^{4})}^{0}$ .

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

$o^{4 \cdot 0} {(p^{2})}^{0} q^{0}$

Multiply $4$ by $0$ .

$o^{0} {(p^{2})}^{0} q^{0}$

Anything raised to $0$ is $1$ .

$1 {(p^{2})}^{0} q^{0}$

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

${(p^{2})}^{0} q^{0}$

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

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

$p^{2 \cdot 0} q^{0}$

Multiply $2$ by $0$ .

$p^{0} q^{0}$

Anything raised to $0$ is $1$ .

$1 q^{0}$

Multiply $q^{0}$ by $1$ .

$q^{0}$

Anything raised to $0$ is $1$ .

$1$