### All Pre-Algebra Resources

## Example Questions

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

Simplify the following

**Possible Answers:**

**Correct answer:**

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

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

Simplify the following:

**Possible Answers:**

**Correct answer:**

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

### Example Question #92 : Polynomials

Simplify the following:

**Possible Answers:**

**Correct answer:**

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 #33 : Power Rule Of Exponents

Which answer shows the answer to:

**Possible Answers:**

**Correct answer:**

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 #94 : Polynomials

Simplify the following:

**Possible Answers:**

**Correct answer:**

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 #34 : Power Rule Of Exponents

Simplify the polynomial.

**Possible Answers:**

**Correct answer:**

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

### Example Question #35 : Power Rule Of Exponents

Simplify the following:

**Possible Answers:**

None of the above

**Correct answer:**

When you raise an exponent to an additional power you need to multiply the two numbers, so you will get:

which equals

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