Simplify 4a^2b^0*4ab^2

$4 a^{2} b^{0} \cdot 4 a b^{2}$

Step 1

Multiply $a^{2}$ by $a$ by adding the exponents.

Move $a$ .

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

Multiply $a$ by $a^{2}$ .

Raise $a$ to the power of $1$ .

$4 (a^{1} a^{2}) b^{0} \cdot (4 b^{2})$

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

$4 a^{1 + 2} b^{0} \cdot (4 b^{2})$

Add $1$ and $2$ .

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

Step 2

Simplify $4 a^{3} b^{0} \cdot (4 b^{2})$ .

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

Step 3

Rewrite using the commutative property of multiplication.

$4 \cdot 4 a^{3} b^{2}$

Step 4

Multiply $4$ by $4$ .

$16 a^{3} b^{2}$