Solve 3a^2b*5ab^5

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

Evaluate

$$15a^{3}b^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 1.

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

Add the exponents 1 and 5.

$$3^{1}\times 5^{1}a^{3}b^{6}$$

Multiply 3 times 5.

$$15a^{3}b^{6}$$

Differentiate w.r.t. a

$$45a^{2}b^{6}$$