Solve 3a^3b^2*7a^2b^5=

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

Evaluate

$$21a^{5}b^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 3 and 2.

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

Add the exponents 2 and 5.

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

Multiply 3 times 7.

$$21a^{5}b^{7}$$

Differentiate w.r.t. a

$$105a^{4}b^{7}$$