Simplify -(4m^3n^0)^2

$- {(4 m^{3} n^{0})}^{2}$

Step 1

Anything raised to $0$ is $1$ .

$- {(4 m^{3} \cdot 1)}^{2}$

Step 2

Multiply $4$ by $1$ .

$- {(4 m^{3})}^{2}$

Step 3

Apply the product rule to $4 m^{3}$ .

$- (4^{2} {(m^{3})}^{2})$

Step 4

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

$- (16 {(m^{3})}^{2})$

Step 5

Multiply the exponents in ${(m^{3})}^{2}$ .

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

$- (16 m^{3 \cdot 2})$

Multiply $3$ by $2$ .

$- (16 m^{6})$

Step 6

Multiply $16$ by $- 1$ .

$- 16 m^{6}$