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

After switching the fraction and squaring it, what is the final calculation for (2/7)^2?

1. 2/7

2. 4/49

3. 1/49

4. 49/4

The correct answer is: 4/49

To determine the final calculation for \((\frac{2}{7})^2\), you start by applying the exponent to both the numerator and the denominator of the fraction. When you square the fraction \(\frac{2}{7}\), you do the following: 1. Square the numerator: \(2^2 = 4\) 2. Square the denominator: \(7^2 = 49\) This means that squaring the fraction results in \(\frac{4}{49}\). Thus, the correct result for \((\frac{2}{7})^2\) is \(\frac{4}{49}\), confirming that the answer is indeed the one that represents this calculation accurately.