Solve 5x5^25^2252^22x25x/11011

$$\frac{ 5x { 5 }^{ 2 } { 5 }^{ 2 } { 252 }^{ 2 } 2x25x }{ 11011 }$$

Evaluate

$$\frac{56700000x_{25}x^{2}}{1573}$$

Solution Steps

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

$$\frac{5^{3}x\times 5^{2}\times 252^{2}\times 2x_{25}x}{11011}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{5^{5}x\times 252^{2}\times 2x_{25}x}{11011}$$

Multiply x and x to get x^{2}.

$$\frac{5^{5}x^{2}\times 252^{2}\times 2x_{25}}{11011}$$

Calculate 5 to the power of 5 and get 3125.

$$\frac{3125x^{2}\times 252^{2}\times 2x_{25}}{11011}$$

Calculate 252 to the power of 2 and get 63504.

$$\frac{3125x^{2}\times 63504\times 2x_{25}}{11011}$$

Multiply 3125 and 63504 to get 198450000.

$$\frac{198450000x^{2}\times 2x_{25}}{11011}$$

Multiply 198450000 and 2 to get 396900000.

$$\frac{396900000x^{2}x_{25}}{11011}$$

Divide 396900000x^{2}x_{25} by 11011 to get \frac{56700000}{1573}x^{2}x_{25}.

$$\frac{56700000}{1573}x^{2}x_{25}$$

Differentiate w.r.t. x

$$\frac{113400000xx_{25}}{1573}$$