Solve (4r^4t^3)(2r^5t^5)

$$( 4 r ^ { 4 } t ^ { 3 } ) ( 2 r ^ { 5 } t ^ { 5 } )$$

Evaluate

$$8t^{8}r^{9}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}r^{4}t^{3}\times 2^{1}r^{5}t^{5}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times 2^{1}r^{4}r^{5}t^{3}t^{5}$$

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

$$4^{1}\times 2^{1}r^{4+5}t^{3+5}$$

Add the exponents 4 and 5.

$$4^{1}\times 2^{1}r^{9}t^{3+5}$$

Add the exponents 3 and 5.

$$4^{1}\times 2^{1}r^{9}t^{8}$$

Multiply 4 times 2.

$$8r^{9}t^{8}$$

Differentiate w.r.t. r

$$72\left(rt\right)^{8}$$