- Simplify each expression using the rules of exponents and examine the steps you are taking.
- Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.
- Principal root
- Product rule
- Quotient rule
- nth root
Refer to Inserting Math Symbols for guidance with formatting. Be aware with regards to the square root symbol, you will notice that it only shows the front part of a radical and not the top bar. Thus, it is impossible to tell how much of an expression is included in the radical itself unless you use parenthesis. For example, if we have âˆš12 + 9 it is not enough for us to know if the 9 is under the radical with the 12 or not. Therefore, we must specify whether we mean it to say âˆš(12) + 9 or âˆš(12 + 9), as there is a big difference between the two. This distinction is important in your notation.
Another solution is to type the letters â€œsqrtâ€ in place of the radical and use parenthesis to indicate how much is included in the radical as described in the second method above. The example above would appear as either â€œsqrt(12) + 9â€ or â€œsqrt(12 + 9)â€ depending on what we needed it to say.
Evaluate each expression. See Example 5. See the Strategy for Evaluating aâˆ’m/n box on page 571.
26). 1000 ^2/3
Simplify the products. Give exact answers. See Examples 3 and 4.