Solve (5/3)^2=5/3*5/3=25/9text{ou}(frac{5}{3})^2=frac{5^2}{3^2}=frac{25}{9}

$$( \frac { 5 } { 3 } ) ^ { 2 } = \frac { 5 } { 3 } \cdot \frac { 5 } { 3 } = \frac { 25 } { 9 } \text { ou } ( \frac { 5 } { 3 } ) ^ { 2 } = \frac { 5 ^ { 2 } } { 3 ^ { 2 } } = \frac { 25 } { 9 }$$

Verify

Solution Steps

Calculate \frac{5}{3} to the power of 2 and get \frac{25}{9}.

$$\frac{25}{9}=\frac{5}{3}\times \frac{5}{3}\text{ and }\frac{5}{3}\times \frac{5}{3}=\frac{25}{9}$$

Multiply \frac{5}{3} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25}{9}=\frac{5\times 5}{3\times 3}\text{ and }\frac{5}{3}\times \frac{5}{3}=\frac{25}{9}$$

Do the multiplications in the fraction \frac{5\times 5}{3\times 3}.

$$\frac{25}{9}=\frac{25}{9}\text{ and }\frac{5}{3}\times \frac{5}{3}=\frac{25}{9}$$

Compare \frac{25}{9} and \frac{25}{9}.

$$\text{true}\text{ and }\frac{5}{3}\times \frac{5}{3}=\frac{25}{9}$$

Multiply \frac{5}{3} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\text{true}\text{ and }\frac{5\times 5}{3\times 3}=\frac{25}{9}$$

Do the multiplications in the fraction \frac{5\times 5}{3\times 3}.

$$\text{true}\text{ and }\frac{25}{9}=\frac{25}{9}$$

Compare \frac{25}{9} and \frac{25}{9}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$