# Algebra II : Exponents

## Example Questions

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### Example Question #1 : Negative Exponents

Simplify the following expression      Explanation: ### Example Question #2 : Negative Exponents

Simplify the following expression      Explanation: ### Example Question #3 : Exponents

Simplify the following expression      Explanation: ### Example Question #4 : Exponents

Simplify the following expression      Explanation: ### Example Question #5 : Exponents

Simplify the following expression       Explanation: ### Example Question #1 : Negative Exponents

Solve for :       Explanation:

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 #1 : Negative Exponents

Represent the fraction using only positive exponents:       Explanation: Negative exponents are the reciprocal of their positive counterpart. For example: Therefore: This simplifies to: ### Example Question #1 : Negative Exponents

Solve the equation for n:       Explanation:

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 #9 : Exponents

What is the same as?      Explanation:

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 #10 : Exponents

Solve:       Explanation:

To evaluate a negative exponent, convert the exponent to positive by taking the inverse. ← Previous 1 3 4 5 6 7 8 9 76 77

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