Solve 2x^{-3}*4x^4*5y^-5y^-4u^-6u

$$2 x ^ { - 3 } \cdot 4 x ^ { 4 } \cdot 5 y ^ { - 5 } y ^ { - 4 } u ^ { - 6 } u$$

Evaluate

$$\frac{40x}{u^{5}y^{9}}$$

Solution Steps

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

$$2x^{1}\times 4\times 5y^{-5}y^{-4}u^{-6}u$$

To multiply powers of the same base, add their exponents. Add -5 and -4 to get -9.

$$2x^{1}\times 4\times 5y^{-9}u^{-6}u$$

To multiply powers of the same base, add their exponents. Add -6 and 1 to get -5.

$$2x^{1}\times 4\times 5y^{-9}u^{-5}$$

Calculate x to the power of 1 and get x.

$$2x\times 4\times 5y^{-9}u^{-5}$$

Multiply 2 and 4 to get 8.

$$8x\times 5y^{-9}u^{-5}$$

Multiply 8 and 5 to get 40.

$$40xy^{-9}u^{-5}$$

Differentiate w.r.t. x

$$\frac{40}{u^{5}y^{9}}$$