The expression shown represents the prime factorization of 252
2ˣ x y² x 7
what are the values of x and y
In the expression shown, the prime factorization of 252 is represented as 2^x * y^2 * 7.
To determine the values of x and y, we need to consider the powers of each prime factor.
From the expression, we see that 2^x is a factor of 252. The prime factorization of 252 is 2^2 * 3^2 * 7. Therefore, x must be equal to 2.
Similarly, the expression also includes the factor y^2, which means that y is a factor of 252. However, we don't have enough information from the expression alone to determine the exact value of y. It could be any prime number that is a factor of 252.
So, the value of x is 2, and the value of y could be any prime number.