# High School Math : Understanding Exponents

## Example Questions

### Example Question #1 : Exponents

Which of the following is equivalent to ?      Explanation:

By definition, .

In our problem, and Then, we have .

### Example Question #5 : 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 #2 : Fractional Exponents

Convert the exponent to radical notation.      Explanation:

Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.  ### Example Question #1 : Understanding Fractional Exponents

Which of the following is equivalent to ?      Explanation:

By definition, a number raised to the power is the same as the square root of that number.

Since the square root of 64 is 8, 8 is our solution.

### Example Question #1 : Fractional Exponents

Simplify the expression:      Explanation:

Remember that fraction exponents are the same as radicals.  A shortcut would be to express the terms as exponents and look for opportunities to cancel.  Either method, we then need to multiply to two terms.  