Solve {left(7/5right)}^2div{left(4/2right)}^2=

$${ \left( \frac{ 7 }{ 5 } \right) }^{ 2 } \div { \left( \frac{ 4 }{ 2 } \right) }^{ 2 } =$$

Evaluate

$$\frac{49}{100}=0.49$$

Solution Steps

Calculate \frac{7}{5} to the power of 2 and get \frac{49}{25}.

$$\frac{\frac{49}{25}}{\left(\frac{4}{2}\right)^{2}}$$

Divide 4 by 2 to get 2.

$$\frac{\frac{49}{25}}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\frac{49}{25}}{4}$$

Express \frac{\frac{49}{25}}{4} as a single fraction.

$$\frac{49}{25\times 4}$$

Multiply 25 and 4 to get 100.

$$\frac{49}{100}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 0.49$$