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

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

Evaluate

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

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}a^{2}b^{0}\times 4^{1}a^{1}b^{2}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times 4^{1}a^{2}a^{1}b^{0}b^{2}$$

To multiply powers of the same base, add their exponents.

$$4^{1+1}a^{2+1}b^{2}$$

Add the exponents 1 and 1.

$$4^{2}a^{2+1}b^{2}$$

Raise 4 to the power 2.

$$16a^{2+1}b^{2}$$

Add the exponents 2 and 1.

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

Differentiate w.r.t. b

$$32ba^{3}$$