Assessment and Learning in Knowledge Spaces (ALEKS) Basic Math Placement Practice Test

What is the value of (2/7)^2 after performing the operation?

1. 4/49

2. 49/4

3. 14/49

4. 1/49

The correct answer is: 4/49

To find the value of \((2/7)^2\), you need to square both the numerator and the denominator separately. When you square a fraction, you apply the exponent to both the top and bottom parts: \[ (2/7)^2 = (2^2)/(7^2) = 4/49. \] The numerator becomes \(2^2\), which is \(4\), and the denominator becomes \(7^2\), which is \(49\). Therefore, the result of squaring the fraction \(2/7\) is \(4/49\). This matches the correct answer, confirming that the calculation and the application of the exponent were done correctly. So, the value of \((2/7)^2\) is indeed \(4/49\).