**Rule 3:**- When there are two or more exponents to the same base,
multiply them.

**Example 10:**- Simplify the following expression .

**Answer:**

**Solution:**

Simplify the numerator: .

Simplify the denominator: .

The initial fraction can now re written as .

Since
is equivalent to , they should be identical for the same values of a and b. Let's check the answer by letting
a and b take on values in both the initial fraction and the closing
fraction. Let's let a = 2 and b = 3. The value of the initial
fraction and the final fraction , using a = 2 and b = 3, should be the same.

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