Solve 1/1072^2/23^2

$$\frac{ 1 }{ 10 } \frac{ 7 { 2 }^{ 2 } }{ { 23 }^{ 2 } }$$

Evaluate

$$\frac{14}{2645}\approx 0.005293006$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{10}\times \frac{7\times 4}{23^{2}}$$

Multiply 7 and 4 to get 28.

$$\frac{1}{10}\times \frac{28}{23^{2}}$$

Calculate 23 to the power of 2 and get 529.

$$\frac{1}{10}\times \frac{28}{529}$$

Multiply \frac{1}{10} times \frac{28}{529} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 28}{10\times 529}$$

Do the multiplications in the fraction \frac{1\times 28}{10\times 529}.

$$\frac{28}{5290}$$

Reduce the fraction \frac{28}{5290} to lowest terms by extracting and canceling out 2.

$$\frac{14}{2645}$$

Factor

$$\frac{2 \cdot 7}{5 \cdot 23 ^ {2}} = 0.005293005671077505$$