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

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

Evaluate

$$35a^{3}b^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 1.

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

Add the exponents 3 and 2.

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

Multiply 5 times 7.

$$35a^{3}b^{5}$$

Differentiate w.r.t. a

$$105a^{2}b^{5}$$