Simplify each expression.60.^2n 61.64.f 9t$ [ 36 1)y^652 m 41 4
m2a262.•($)^66
3je
(3x)3
.2 1- U x 3 Jf— V5x 3
63.67.(2fl 6 )(4fl)
8 a 3
4x~ 2 y 4
8 x 3 (y-2)3
68. a. Op en - En d ed Write three numbers greater than 1000 in scientific notation.
b. Divide each number by 2.
c. Reaso ni ng Is the exponent of the power of 10 divided by 2 when you divide a
number in scientific notation by 2? Explain.- Simplify the expression I I in three different ways. Justify each step./ 3 I-3
70. Geomet ry The area of the rectangle is 72a3/?4. What is the length
of the rectangle?
^1 2 CCJ
CjD 12a2h3 CE> 12a3b4Simplify each expression., 5 \ —2IIII r■ 6 ab71.75.3xy-
x4ya 1 h 3 cl 6
a2b 4 j72.76.mrnrp4 S S
m~2n7p-«(~4)2
(-3)-373.77.(I)"
-3
(1)
(4x)2y74.
0. 27xy 78.( 6 fl 3 )( 8 fr4)
(2fl4)(36f?_1)6 SS) 79. Physics The wavelength of a radio wave is defined as speed divided by frequency.
An FM radio station has a frequency of 9 X 10 7 waves per second. The speed of the
waves is about 3 X 10 8 meters per second. What is the wavelength of the station?- a. Error Analysis What mistake did the student make in simplifying the
expression at the right?
b. What is the correct simplified form of the expression? - Writing Suppose = a3 and 4^ = a-5. Find the values of x and y. Explain
how you found your answer. - a. Finance In 2000, the United States government owed about $5.63 trillion to
its creditors. The population of the United States was 282.4 million people. How
much did the government owe per person in 2000? Round to the nearest dollar.
b. In 2005, the debt had grown to $7.91 trillion, with a population of 296.9 million.
How much did the government owe per person? Round to the nearest dollar.
c. What was the percent increase in the average amount owed per person from
2000 to 2005?
Write each expression with only one exponent. You may need to use
parentheses.- 84.^10 ^ •^10 '
10 "
|0- 27x8y3 86 .169m44m
444 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