Q ApplyEvaluate each expression for r = - 3 and s = 5.- r~ 3 38. s“ 3
- 4s_1 42. r°s~2
39.c3r-2 40.See Pr o b l em 3.- rAs2 44. 2“ 4 r 3 s-2
- Internet Traffic The number of visitors to a certain Web site triples every month. ^ Se e Pr o b l e m 4.
The number of visitors is modeled by the expression 8100 • 3m, where m is the
number of months after the number of visitors was measured.
Evaluate the expression m = —4. What does the value of the expression
represent in the situation?
(3212) 46. Population Growth A Galapagos cactus finch population increases
by half every decade. The number of finches is modeled by the
expression 45 • 1.5d, where d is the number of decades after the
population was measured. Evaluate the expression for d = —2, d = 0,
and d= 1. What does each value of the expression represent in the
situation?
Mental Math Is the value of each expression positive or negative?- — 22 48. (—2)2 49. (-2)3 50. (-2r 3
Write each number as a power of 10 using negative exponents.- 10 52 — 100 53. 1000 54.^1
- a. Pat terns Complete the pattern using powers of 5.
\=m 5 \=m 5 5° J -r = B 5
b. Write using a positive exponent.
c. Rewrite as a power of a.Rewrite each fraction with all the variables in the numerator.10,0001
5~2 'Galapagos cactus finch56.u-2a 57.^4 h3g^ 58.5 m 3 n^ 59.lld 4e^8 c,-2- Think About a Plan Suppose your drama club's budget doubles every year. This
year the budget is $500. How much was the club’s budget 2 yr ago?- What expression models what the budget of the club will be in 1 yr?
In2yr? In y years? - W h a t v a l u e o f y can you substitute into your expression to find the budget of the
club 2 yr ago?
- What expression models what the budget of the club will be in 1 yr?
- Copy and complete the table at the right.
- a. Simplify an • a~n.
b. Reasoning What is the mathematical
relationship between an and a~n1 Explain.
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422 Ch ap t e r 7 Ex p o n e n t s a n d Ex p o n e n t i a l Fu n c t i o n s