Solve 7x^{-2}y^{-3}x2x^3y^-1x3x^4y^6

$$7 x ^ { - 2 } y ^ { - 3 } x 2 x ^ { 3 } y ^ { - 1 } x 3 x ^ { 4 } y ^ { 6 }$$

Evaluate

$$7x_{2}x_{3}y^{2}x^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and 3 to get 1.

$$7x^{1}y^{-3}x_{2}y^{-1}x_{3}x^{4}y^{6}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$7x^{5}y^{-3}x_{2}y^{-1}x_{3}y^{6}$$

To multiply powers of the same base, add their exponents. Add -3 and -1 to get -4.

$$7x^{5}y^{-4}x_{2}x_{3}y^{6}$$

To multiply powers of the same base, add their exponents. Add -4 and 6 to get 2.

$$7x^{5}y^{2}x_{2}x_{3}$$

Differentiate w.r.t. x

$$35x_{2}x_{3}y^{2}x^{4}$$