62.
78.
ANSWER:
ANSWER:
7-3 Rational Exponents
1
Solve each equation.
64.
80.
ANSWER:
ANSWER:
3
66.
82.
ANSWER:
ANSWER:
Simplify.
84.
68.
ANSWER:
ANSWER:
11
86. RANDOM WALKS Suppose you go on a walk
where you choose the direction of each step at
random. The path of a molecule in a liquid or a gas,
70.
the path of a foraging animal, and a fluctuating
stock price are all modeled as random walks. The
ANSWER:
number of possible random walks w of n steps
where you choose one of d directions at each step
is
.
a . How many steps have been taken in a 2-direction
72.
random walk if there are 4096 possible walks?
ANSWER:
b. How many steps have been taken in a 4-direction
random walk if there are 65,536 possible walks?
c. If a walk of 7 steps has 2187 possible walks, how
many directions could be taken at each step?
74.
ANSWER:
a . 12
ANSWER:
b . 8
c . 3
88. MULTIPLE REPRESENTATIONS In this
problem, you will explore the graph of an
76.
exponential function.
a. TABULAR Copy and complete the table below.
ANSWER:
78.
b. GRAPHICAL Graph f (x) by plotting the points
ANSWER:
and connecting them with a smooth curve.
c. VERBAL Describe the shape of the graph of f
1
(x). What are its key features? Is it linear?
Solve each equation.
ANSWER:
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80.
a .
ANSWER: