Solve 8x^{9}y^{9}z^9*4x^2y^8z^7

$$8 x ^ { 9 } y ^ { 9 } z ^ { 9 } \cdot 4 x ^ { 2 } y ^ { 8 } z ^ { 7 }$$

Evaluate

$$32x^{11}z^{16}y^{17}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 2 to get 11.

$$8x^{11}y^{9}z^{9}\times 4y^{8}z^{7}$$

To multiply powers of the same base, add their exponents. Add 9 and 8 to get 17.

$$8x^{11}y^{17}z^{9}\times 4z^{7}$$

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

$$8x^{11}y^{17}z^{16}\times 4$$

Multiply 8 and 4 to get 32.

$$32x^{11}y^{17}z^{16}$$

Differentiate w.r.t. x

$$352x^{10}z^{16}y^{17}$$