Solve (1.75*10^3/3.52*10^2)^2

$$( \frac { 1.75 \times 10 ^ { 3 } } { 3.52 \times 10 ^ { 2 } } ) ^ { 2 }$$

Evaluate

$$\frac{765625}{30976}\approx 24.716716167$$

Solution Steps

Cancel out 10^{2} in both numerator and denominator.

$$\left(\frac{1.75\times 10}{3.52}\right)^{2}$$

Multiply 1.75 and 10 to get 17.5.

$$\left(\frac{17.5}{3.52}\right)^{2}$$

Expand \frac{17.5}{3.52} by multiplying both numerator and the denominator by 100.

$$\left(\frac{1750}{352}\right)^{2}$$

Reduce the fraction \frac{1750}{352} to lowest terms by extracting and canceling out 2.

$$\left(\frac{875}{176}\right)^{2}$$

Calculate \frac{875}{176} to the power of 2 and get \frac{765625}{30976}.

$$\frac{765625}{30976}$$

Factor

$$\frac{5 ^ {6} \cdot 7 ^ {2}}{2 ^ {8} \cdot 11 ^ {2}} = 24\frac{22201}{30976} = 24.716716167355372$$