Solve 5u^2w^4*7uw^3

$$5 u ^ { 2 } w ^ { 4 } \times 7 u w ^ { 3 }$$

Evaluate

$$35u^{3}w^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$5^{1}u^{2}w^{4}\times 7^{1}u^{1}w^{3}$$

Use the Commutative Property of Multiplication.

$$5^{1}\times 7^{1}u^{2}u^{1}w^{4}w^{3}$$

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

$$5^{1}\times 7^{1}u^{2+1}w^{4+3}$$

Add the exponents 2 and 1.

$$5^{1}\times 7^{1}u^{3}w^{4+3}$$

Add the exponents 4 and 3.

$$5^{1}\times 7^{1}u^{3}w^{7}$$

Multiply 5 times 7.

$$35u^{3}w^{7}$$

Differentiate w.r.t. u

$$105u^{2}w^{7}$$