Simplify (2p^3)^0(p^4)

${(2 p^{3})}^{0} (p^{4})$

Apply the product rule to $2 p^{3}$ .

$2^{0} {(p^{3})}^{0} p^{4}$

Anything raised to $0$ is $1$ .

$1 {(p^{3})}^{0} p^{4}$

Multiply ${(p^{3})}^{0}$ by $1$ .

${(p^{3})}^{0} p^{4}$

Multiply the exponents in ${(p^{3})}^{0}$ .

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

$p^{3 \cdot 0} p^{4}$

Multiply $3$ by $0$ .

$p^{0} p^{4}$

Multiply $p^{0}$ by $p^{4}$ by adding the exponents.

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

$p^{0 + 4}$

Add $0$ and $4$ .

$p^{4}$