Solve (15a^5b^4)(4ab^-3)

$$( 15 a ^ { 5 } b ^ { 4 } ) ( 4 a b ^ { - 3 } )$$

Evaluate

$$60ba^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$15^{1}a^{5}b^{4}\times 4^{1}a^{1}b^{-3}$$

Use the Commutative Property of Multiplication.

$$15^{1}\times 4^{1}a^{5}a^{1}b^{4}b^{-3}$$

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

$$15^{1}\times 4^{1}a^{5+1}b^{4-3}$$

Add the exponents 5 and 1.

$$15^{1}\times 4^{1}a^{6}b^{4-3}$$

Add the exponents 4 and -3.

$$15^{1}\times 4^{1}a^{6}b^{1}$$

Multiply 15 times 4.

$$60a^{6}b$$

Differentiate w.r.t. a

$$360ba^{5}$$