Solve 50^30.02/25+50^20.25

$$\frac{ { 50 }^{ 3 } 0.02 }{ 25+ { 50 }^{ 2 } 0.25 }$$

Evaluate

$$\frac{50}{13}\approx 3.846153846$$

Solution Steps

Calculate 50 to the power of 3 and get 125000.

$$\frac{125000\times 0.02}{25+50^{2}\times 0.25}$$

Multiply 125000 and 0.02 to get 2500.

$$\frac{2500}{25+50^{2}\times 0.25}$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{2500}{25+2500\times 0.25}$$

Multiply 2500 and 0.25 to get 625.

$$\frac{2500}{25+625}$$

Add 25 and 625 to get 650.

$$\frac{2500}{650}$$

Reduce the fraction \frac{2500}{650} to lowest terms by extracting and canceling out 50.

$$\frac{50}{13}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{13} = 3\frac{11}{13} = 3.8461538461538463$$