Solve 1/6(1^2/0.0578^2)

$$\frac{ 1 }{ 6 } ( \frac{ { 1 }^{ 2 } }{ { 0.0578 }^{ 2 } } )$$

Evaluate

$$\frac{12500000}{250563}\approx 49.887653005$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$\frac{1}{6}\times \frac{1}{0.0578^{2}}$$

Calculate 0.0578 to the power of 2 and get 0.00334084.

$$\frac{1}{6}\times \frac{1}{0.00334084}$$

Expand \frac{1}{0.00334084} by multiplying both numerator and the denominator by 100000000.

$$\frac{1}{6}\times \frac{100000000}{334084}$$

Reduce the fraction \frac{100000000}{334084} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}\times \frac{25000000}{83521}$$

Multiply \frac{1}{6} times \frac{25000000}{83521} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 25000000}{6\times 83521}$$

Do the multiplications in the fraction \frac{1\times 25000000}{6\times 83521}.

$$\frac{25000000}{501126}$$

Reduce the fraction \frac{25000000}{501126} to lowest terms by extracting and canceling out 2.

$$\frac{12500000}{250563}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {8}}{3 \cdot 17 ^ {4}} = 49\frac{222413}{250563} = 49.887653005431766$$