1.1.4 Powers and Exponents − Practice

1. Identify the power represented by the geometric model.

2. Evaluate the expression. 2 5

3. Evaluate the expression. ( − 1) 3

4. Evaluate the expression. ( − 1/2) 3

5. Simplify − 3 4 .

6. Write 729 as a power of the base 9.

7. Express 256 as a power of 16.

8. Express 10,000 as a power of 10.

9. Suppose you have developed a scale that indicates the brightness of sunlight. Each category in the table is 8 times brighter than the next lower category. For example, a day that is dazzling is 8 times brighter than a day that is radiant. How many times brighter is a dazzling day than a dim day? Sunlight Intensity Category Brightness Dim 2 Illuminated 3 Radiant 4 Dazzling 5

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