**Rule 2: To divide identical bases, subtract the exponents.**

**Example 1:** can be written

which can be written as

or

The later can also be written . According to Rule 2, you can get to the answer directly by subtracting the exponents

**Example 2:** can be written . According to Rule 2, the expression can be simplify to

**Example 3:** Simplify . You cannot simplify this expression where the answer will be 5 to some exponent or 7 to some exponent because Rule 2 states that the bases must be equal. The base in the numerator is 5 and the base in the denominator is 7. The only way to simplify the fraction is approximate the decimal answer with your calculator.

**If you would like to see another example lick on
Example. **

**Work the following problems. Click on Answer if you want to check your answer and review the solution.**

**Problem 1:** Simplify .

**Problem 2:** Simplify .

**Problem 3:** Simplify

**Problem 4:** Simplify

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