What is the value of the exponent c in the given expression where x ≥ 0 and y ≥ 0?
The value of the exponent c that makes the second expression equivalent to the first expression where x ≥ 0 and y ≥ 0 is 4.
Explanation:
To find the value of the exponent c, we can look at the given expressions:
First expression: x^2 * y^2
Second expression: x^c * y^c
We are given that x ≥ 0 and y ≥ 0, which means both x and y are non-negative numbers. In order for the second expression to be equivalent to the first expression, the exponents of x and y in both expressions must be the same.
By comparing the exponents in the first and second expressions, we can see that c = 2 in order for x^c * y^c to be equivalent to x^2 * y^2. Therefore, the value of the exponent c that satisfies the given conditions is 4.
In conclusion, the value of the exponent c that makes the second expression equivalent to the first expression where x ≥ 0 and y ≥ 0 is 4.