### All Algebra II Resources

## Example Questions

### Example Question #1 : Negative Exponents

Simplify the following expression

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**Correct answer:**

### Example Question #2 : Negative Exponents

Simplify the following expression

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**Correct answer:**

### Example Question #3 : Negative Exponents

Simplify the following expression

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**Correct answer:**

### Example Question #4 : Negative Exponents

Simplify the following expression

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**Correct answer:**

### Example Question #5 : Negative Exponents

Simplify the following expression

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**Correct answer:**

### Example Question #2 : Negative Exponents

Solve for :

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**Correct answer:**

Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation.

Subtract from both sides:

### Example Question #3 : Negative Exponents

Represent the fraction using only positive exponents:

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**Correct answer:**

Negative exponents are the reciprocal of their positive counterpart. For example:

Therefore:

This simplifies to**:**^{}

### Example Question #8 : Negative Exponents

Solve the equation for *n*:

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**Correct answer:**

Rewrite the right-hand-side so that each side has the same base:

Use the Property of Equality for Exponential Functions:

Solving for :

### Example Question #4 : Negative Exponents

What is the same as?

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**Correct answer:**

While a positive exponent says how many times to multiply by a number, a negative exponent says how many times to divide by the number.

To solve for negative exponents, just calculate the reciprocal.

### Example Question #5 : Negative Exponents

Solve:

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**Correct answer:**

To evaluate a negative exponent, convert the exponent to positive by taking the inverse.