### All Algebra II Resources

## Example Questions

### Example Question #3 : Simplifying Polynomials

Simplify.

**Possible Answers:**

**Correct answer:**

Put the negative exponent on the bottom so that you have which simplifies further to .

### Example Question #1 : Multiplying And Dividing Exponents

Evaluate the following expression

**Possible Answers:**

**Correct answer:**

We can also solve this problem using a different apporach

Remember that any number raised to the 0th power equals 1

### Example Question #2 : Multiplying And Dividing Exponents

Simplify the following expression

**Possible Answers:**

**Correct answer:**

Alternatively,

### Example Question #3 : Multiplying And Dividing Exponents

Simplify the following expression

**Possible Answers:**

**Correct answer:**

Remember that any number raised to the 0th power equals 1

### Example Question #4 : Multiplying And Dividing Exponents

Evaluate the following expression

**Possible Answers:**

**Correct answer:**

Alternatively,

### Example Question #5 : Multiplying And Dividing Exponents

Simplify:

**Possible Answers:**

**Correct answer:**

Step 1: Simplify the exponents using the division of exponents rule (subtract exponents in demoninator from exponents in numerator).

Step 2: Reduce the fraction

### Example Question #6 : Multiplying And Dividing Exponents

Simplify:

**Possible Answers:**

**Correct answer:**

Follow the division of exponents rule. Subract the exponents in the denominator from the exponents in the numerator.

### Example Question #7 : Multiplying And Dividing Exponents

Rewrite using a single exponent.

**Possible Answers:**

**Correct answer:**

Based on the property for dividing exponents:

In this problem, a is equal to , so

### Example Question #8 : Multiplying And Dividing Exponents

Simplify:

**Possible Answers:**

**Correct answer:**

Simplify:

Step 1: Use the division of exponents rule, and subtract the exponents in the denominator from the exponents in the numerator

Step 2: Move negative exponents in the numerator to the denominator

Step 3: Simplify

### Example Question #9 : Multiplying And Dividing Exponents

Simplify:

**Possible Answers:**

**Correct answer:**

Step 1: Use the division of exponents rule. Subtract the exponents in the numerator from the exponents in the denominator.

Step 2: Represent the negative exponents as positive ones by moving them to the denominator:

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