Solve 7a^3b^2*2a^2*b=

$$7 a ^ { 3 } b ^ { 2 } \cdot 2 a ^ { 2 } \cdot b =$$

Evaluate

$$14b^{3}a^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$7^{1}a^{3}b^{2}\times 2^{1}a^{2}b^{1}$$

Use the Commutative Property of Multiplication.

$$7^{1}\times 2^{1}a^{3}a^{2}b^{2}b^{1}$$

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

$$7^{1}\times 2^{1}a^{3+2}b^{2+1}$$

Add the exponents 3 and 2.

$$7^{1}\times 2^{1}a^{5}b^{2+1}$$

Add the exponents 2 and 1.

$$7^{1}\times 2^{1}a^{5}b^{3}$$

Multiply 7 times 2.

$$14a^{5}b^{3}$$

Differentiate w.r.t. a

$$70b^{3}a^{4}$$