Calculate the Square of 4/7: Evaluating (4/7)²

Insert the corresponding expression:

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

Video Solution

Solution Steps

00:00 Simplify the following problem

00:03 According to the laws of exponents, a fraction raised to the power (N)

00:07 equals the numerator and denominator, each raised to the same power (N)

00:12 We will apply this formula to our exercise

00:18 Let's calculate each power and substitute accordingly

00:29 This is the solution

Step-by-Step Solution

To solve the problem of squaring the fraction $\left(\frac{4}{7}\right)^2$ , we will follow these steps:

Step 1: Determine the square of the numerator. The numerator is $4$ , and $4^2 = 16$ .
Step 2: Determine the square of the denominator. The denominator is $7$ , and $7^2 = 49$ .
Step 3: Combine these results to form the fraction $\frac{16}{49}$ .

The computation involves squaring both the numerator and the denominator separately. In conclusion, the squared fraction is:

$\frac{16}{49}$

Therefore, the corresponding expression for $\left(\frac{4}{7}\right)^2$ is $\frac{16}{49}$ .