Solve 6a^2b*5ab

$$6 a ^ { 2 } b \times 5 a b$$

Evaluate

$$30b^{2}a^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$6^{1}a^{2}b^{1}\times 5^{1}a^{1}b^{1}$$

Use the Commutative Property of Multiplication.

$$6^{1}\times 5^{1}a^{2}a^{1}b^{1}b^{1}$$

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

$$6^{1}\times 5^{1}a^{2+1}b^{1+1}$$

Add the exponents 2 and 1.

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

Add the exponents 1 and 1.

$$6^{1}\times 5^{1}a^{3}b^{2}$$

Multiply 6 times 5.

$$30a^{3}b^{2}$$

Differentiate w.r.t. a

$$90\left(ab\right)^{2}$$