Calculate (7/5)² : Squaring a Specific Fraction

Question

What is the result of:

(75)2=(\frac{7}{5})^2=

Step-by-Step Solution

To determine (75)2(\frac{7}{5})^2, raise both the numerator and the denominator to the power of 2:

Numerator: 72=7×7=497^2 = 7 \times 7 = 49

Denominator: 52=5×5=255^2 = 5 \times 5 = 25

Therefore, (75)2=4925(\frac{7}{5})^2 = \frac{49}{25}.

Answer

4925\frac{49}{25}