Solve 8w*2w^9u^9*2u^7

$$8 w \cdot 2 w ^ { 9 } u ^ { 9 } \cdot 2 u ^ { 7 }$$

Evaluate

$$32w^{10}u^{16}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.

$$8w^{10}\times 2u^{9}\times 2u^{7}$$

To multiply powers of the same base, add their exponents. Add 9 and 7 to get 16.

$$8w^{10}\times 2u^{16}\times 2$$

Multiply 8 and 2 to get 16.

$$16w^{10}u^{16}\times 2$$

Multiply 16 and 2 to get 32.

$$32w^{10}u^{16}$$

Differentiate w.r.t. w

$$320w^{9}u^{16}$$