Simplify 4^2*(cb^3)^0

$4^{2} \cdot {(c b^{3})}^{0}$

Step 1

Raise $4$ to the power of $2$ .

$16 \cdot {(c b^{3})}^{0}$

Step 2

Apply the product rule to $c b^{3}$ .

$16 \cdot (c^{0} {(b^{3})}^{0})$

Step 3

Anything raised to $0$ is $1$ .

$16 \cdot (1 {(b^{3})}^{0})$

Step 4

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

$16 \cdot {(b^{3})}^{0}$

Step 5

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

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

$16 \cdot b^{3 \cdot 0}$

Multiply $3$ by $0$ .

$16 \cdot b^{0}$

Step 6

Anything raised to $0$ is $1$ .

$16 \cdot 1$

Step 7

Multiply $16$ by $1$ .

$16$