Solve x:y+4div10^2*5^5

$$x : y + 4 \div 10 ^ { 2 } \times 5 ^ { 5 }$$

Evaluate

$$\frac{x}{y}+125$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\frac{x}{y}+\frac{4}{100}\times 5^{5}$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{x}{y}+\frac{1}{25}\times 5^{5}$$

Calculate 5 to the power of 5 and get 3125.

$$\frac{x}{y}+\frac{1}{25}\times 3125$$

Multiply \frac{1}{25} and 3125 to get \frac{3125}{25}.

$$\frac{x}{y}+\frac{3125}{25}$$

Divide 3125 by 25 to get 125.

$$\frac{x}{y}+125$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 125 times \frac{y}{y}.

$$\frac{x}{y}+\frac{125y}{y}$$

Since \frac{x}{y} and \frac{125y}{y} have the same denominator, add them by adding their numerators.

$$\frac{x+125y}{y}$$

Differentiate w.r.t. x

$$\frac{1}{y}$$