Solve (3a^2b^2)(5a^3b)

$$( 3 a ^ { 2 } b ^ { 2 } ) ( 5 a ^ { 3 } b )$$

Evaluate

$$15b^{3}a^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$3^{1}a^{2}b^{2}\times 5^{1}a^{3}b^{1}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times 5^{1}a^{2}a^{3}b^{2}b^{1}$$

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

$$3^{1}\times 5^{1}a^{2+3}b^{2+1}$$

Add the exponents 2 and 3.

$$3^{1}\times 5^{1}a^{5}b^{2+1}$$

Add the exponents 2 and 1.

$$3^{1}\times 5^{1}a^{5}b^{3}$$

Multiply 3 times 5.

$$15a^{5}b^{3}$$

Differentiate w.r.t. a

$$75b^{3}a^{4}$$