Solve 2.575^20.95*0.05/0.05^2

$$\frac{ { 2.575 }^{ 2 } 0.95 \cdot 0.05 }{ { 0.05 }^{ 2 } }$$

Evaluate

$$125.981875$$

Solution Steps

Cancel out 0.05 in both numerator and denominator.

$$\frac{0.95\times 2.575^{2}}{0.05}$$

Calculate 2.575 to the power of 2 and get 6.630625.

$$\frac{0.95\times 6.630625}{0.05}$$

Multiply 0.95 and 6.630625 to get 6.29909375.

$$\frac{6.29909375}{0.05}$$

Expand \frac{6.29909375}{0.05} by multiplying both numerator and the denominator by 100000000.

$$\frac{629909375}{5000000}$$

Reduce the fraction \frac{629909375}{5000000} to lowest terms by extracting and canceling out 3125.

$$\frac{201571}{1600}$$

Factor

$$\frac{19 \cdot 103 ^ {2}}{2 ^ {6} \cdot 5 ^ {2}} = 125\frac{1571}{1600} = 125.981875$$