Question

Xᵃ is divisible by xᵇ if and only if
A) a = b
B) a ≥ b
C) a > b
D) a ≤ b

Answer 1

The correct answer is B) a ≥ b. To determine if xᵃ is divisible by xᵇ, we need to consider the bases (x) and the exponents (a and b). If the exponent of x in xᵃ is greater than or equal to the exponent of x in xᵇ, then xᵃ is divisible by xᵇ.

Step-by-step explanation:

The correct answer is B) a ≥ b.

To determine if xᵃ is divisible by xᵇ, we need to consider the bases (x) and the exponents (a and b).

If the exponent of x in xᵃ is greater than or equal to the exponent of x in xᵇ, then xᵃ is divisible by xᵇ.

For example, if a = 3 and b = 2, then x³ is divisible by x².

Therefore, the correct condition is a ≥ b.