Solve 5u^4v^5*3uv^4=

$$5 u ^ { 4 } v ^ { 5 } \cdot 3 u v ^ { 4 } =$$

Evaluate

$$15u^{5}v^{9}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$5^{1}u^{4}v^{5}\times 3^{1}u^{1}v^{4}$$

Use the Commutative Property of Multiplication.

$$5^{1}\times 3^{1}u^{4}u^{1}v^{5}v^{4}$$

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

$$5^{1}\times 3^{1}u^{4+1}v^{5+4}$$

Add the exponents 4 and 1.

$$5^{1}\times 3^{1}u^{5}v^{5+4}$$

Add the exponents 5 and 4.

$$5^{1}\times 3^{1}u^{5}v^{9}$$

Multiply 5 times 3.

$$15u^{5}v^{9}$$

Differentiate w.r.t. u

$$75u^{4}v^{9}$$