132.
Changing Decimals to Fractions
133–140 Rewrite each decimal as an equivalent fraction.
133. 0.75
134. 0.875
135. 0.0008
136. 0.1525
137. 0.888…
138. 0.636363…
139. 0.261261…
140. 0.285714285714…
Chapter 4
Making Exponential Expressions and Operations More Compatible
An exponential expression consists of a base and a power. The general format of an exponential expression is bn, where b is the base and n is the power or exponent. The base, b, has to be a positive number, and the power, n, is a real number. Positive powers, negative powers, and fractional powers all have special meanings and designations.
The Problems You’ll Work On
Here are some of the things you do in this chapter:
Multiplying and dividing exponential factors with the same base
Raising a power to a power — putting an exponent on an exponential expression
Combining operations — deciding what comes first when multiplying, dividing, and raising to powers
Changing numbers to the same base so they can be combined
Writing numbers using scientific notation
What to Watch Out For
Be sure you also remember the following:
Writing fractional expressions by using the correct power of a base
Recognizing a common base in different numbers
Remembering when to add, subtract, and multiply the exponents
Using the correct power of ten in scientific notation expressions
Multiplying and Dividing Exponentials with the Same Base
141–150 Perform the operations and simplify.
141.
142.
143.
144.
145.
146.
147.
148.
149.
150.
Raising a Power to a Power
151–160 Compute the powers and simplify your answers.
151.
152.
153.
154.
155.
156.
157.
158.
159.
160.
Combining Different Operations on Exponentials
161–170 Use the order of operations to compute the final answers.
161.
162.
163.
164.
165.
166.
167.
168.
169.
170.
Changing the Base to Perform an Operation
171–180 Perform the operations by changing the numbers to the same base.
171.
172.
173.