What values of A and b make the equation true? square root of 648 is equal to square root of 2 to the A th power times 3 to the b th power end root

Since both sides are square roots of nonnegative numbers, their radicands must be equal: 648 = 2^A × 3^b. Factoring 648 gives 648 = 8 × 81 = 2^3 × 3^4, so A = 3 and b = 4. The correct choice is B.

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