Find the value of the exponent c

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.
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