What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b Baseline EndRoot a = 3, b = 2 a = 2, b = 3 a = 3, b = 4 a = 4, b = 3

The values of a and b which make the equation true are; a = 3 and b = 4 respectively.

From the question; the expression given is;

In essence; we have;

By expression of of 648 as the product of its lowest factors; we have;

In which case; we have;

Ultimately, the values of a and b which make the equation true are 3 and 4 respectively.

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Option C: is the value of a and b

Explanation:

Given that the expression

We need to determine the value of a and b

Let us consider the term and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

324 divides by 2,

162 divides by 2,

81 divides by 3,

27 divides by 3,

9 divides by 3,

Thus, we have,

Therefore, equating the powers of 2 and 3, we get,

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.