Solve 5.277348^2/0.77316^2

$$\frac{ { 5.277348 }^{ 2 } }{ { 0.77316 }^{ 2 } }$$

Evaluate

$$\frac{193405568841}{4151224900}\approx 46.590000181$$

Solution Steps

Calculate 5.277348 to the power of 2 and get 27.850401913104.

$$\frac{27.850401913104}{0.77316^{2}}$$

Calculate 0.77316 to the power of 2 and get 0.5977763856.

$$\frac{27.850401913104}{0.5977763856}$$

Expand \frac{27.850401913104}{0.5977763856} by multiplying both numerator and the denominator by 1000000000000.

$$\frac{27850401913104}{597776385600}$$

Reduce the fraction \frac{27850401913104}{597776385600} to lowest terms by extracting and canceling out 144.

$$\frac{193405568841}{4151224900}$$

Factor

$$\frac{3 ^ {2} \cdot 47 ^ {2} \cdot 3119 ^ {2}}{2 ^ {2} \cdot 5 ^ {2} \cdot 17 ^ {2} \cdot 379 ^ {2}} = 46\frac{2449223441}{4151224900} = 46.59000018066956$$