Solve {left(7/25right)}^2*10^2

$${ \left( \frac{ 7 }{ 25 } \right) }^{ 2 } \times { 10 }^{ 2 }$$

Evaluate

$$\frac{196}{25}=7.84$$

Solution Steps

Calculate \frac{7}{25} to the power of 2 and get \frac{49}{625}.

$$\frac{49}{625}\times 10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{49}{625}\times 100$$

Express \frac{49}{625}\times 100 as a single fraction.

$$\frac{49\times 100}{625}$$

Multiply 49 and 100 to get 4900.

$$\frac{4900}{625}$$

Reduce the fraction \frac{4900}{625} to lowest terms by extracting and canceling out 25.

$$\frac{196}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 7 ^ {2}}{5 ^ {2}} = 7\frac{21}{25} = 7.84$$