## (x^a)/(x^b)

### The expression (x^a)/(x^b) represents the division of two powers with the same base ‘x’

The expression (x^a)/(x^b) represents the division of two powers with the same base ‘x’. To simplify this expression, we can use the rule of exponents that states, when dividing two powers with the same base, we subtract the exponents.

In this case, since both x^a and x^b have the same base ‘x’, we can rewrite the expression as x^(a-b).

For example, let’s say a=3 and b=2, then the expression (x^3)/(x^2) can be simplified as x^(3-2) = x^1 = x.

As another example, let’s say a=5 and b=4, then the expression (x^5)/(x^4) simplifies to x^(5-4) = x^1 = x.

So, the expression (x^a)/(x^b) can be simplified as x^(a-b).

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