# Pre-Algebra : Power Rule of Exponents

## Example Questions

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### Example Question #31 : Power Rule Of Exponents

Simplify the following

Explanation:

When you have the same base and you raise a power to a power, you multiply the exponents.  So,

### Example Question #91 : Polynomials

Simplify the following:

Explanation:

If you are raising a power to another power, you simply multiply the powers together.  So,

### Example Question #31 : Power Rule Of Exponents

Simplify the following:

Explanation:

When raising a power to a power, we multiply the exponents.  In this case, we get

And since they have different bases, we cannot combine them any further.

### Example Question #93 : Polynomials

Explanation:

19 is the base number. It is the same on both sides.

If the base is the same on both sides and it is a multiplication problem we keep the base and add the exponents together.

### Example Question #31 : Power Rule Of Exponents

Simplify the following:

Explanation:

The power rule for exponents states that when you raise a power to a power, you multiply the exponents, keeping the base the same.  So,

can be written as

Since we cannot combine two different bases, this is now in simplest form.

### Example Question #32 : Power Rule Of Exponents

Simplify the polynomial.

Explanation:

In order to solve this problem you must take every integer and variable to the power of 2 like so,

### Example Question #96 : Polynomials

Simplify the following:

None of the above