1. Evaluate the expression. 2. A photo cube for displaying pictures

1. Evaluate the expression.
2. A photo cube for displaying pictures has a
volume of 83 cubic centimeters. How many
cubic centimeters of space are taken up by 8
photo cubes on a display shelf?
3. Evaluate the expression.
4. Evaluate the expression.
5. Evaluate the expression.
6. Evaluate the expression.
7. Evaluate the expression.
8. Simplify the expression.
9. Simplify the expression.
10. Simplify the expression.
11. Simplify the expression.
12. Simplify the expression.
13. Simplify the expression. Write your answer as a power.
14. Simplify the expression. Write your answer as a power.
15. Simplify the expression. Write your answer as a power.
16. Simplify the expression. Write your answer as a power.
17. Simplify the expression. Write your answer as a power.
18. Write the product using exponents.
19. Write the product using exponents.
8•8•8•8•y•y
20.
What is the value of x? Explain.
21. Is x7x3 equivalent to x21? Explain. If not, what
expression is equivalent?
22. A blizzard drops 20 inches of snow in one day. At
the end of each of the next three days, the depth of the
snow is of the depth of the previous day. Write an
expression for the depth of the snow after the third day
of melting. What was the depth (in inches)? Round
your answer to the nearest tenth.
23. Carbon-14 dating is used by scientists to determine the age
of a sample. The amount C (in grams) of a 50-gram sample
of carbon-14 remaining after t years is represented by the
equation
.
a. Use a calculator to find the amount of carbon-14 that will
remain after 900 years.
b. What percent of the original amount will remain after
900 years?
24. The sound intensity of a chainsaw is times
greater than the quietest noise a person can hear.
The sound intensity of a vacuum cleaner is
times greater than the quietest noise a person can
hear. How many times more intense is the sound
of the chainsaw than the sound of the vacuum
cleaner?
25. Consider the equation
.
a. Find two numbers a and b that satisfy the
equation.
b. Describe all of the pairs of whole numbers a
and b that satisfy the equation.
Chapter 9 Gallery Walk - Answer Section
1. 17
2. 4,096
3. 343
1
4. 
32
5. –8
6. 133
7. 202
8.
9.
10. 36p
11. 343z
12.
13.
14.
15.
16.
17.
18.
19.
20. x 6; When the Quotient of Powers Property is used to divide two powers with the same base, you subtract the
exponents and keep the same base.
21. Yes; By the Product of Powers Property, you are supposed to add the exponents when the base of the power is the
same. So x4x6 is equivalent to x10.
22.
; 12.6 in.
23. a. about 44.88 g
b. about 89.76%
24.
times
25. a. Sample answer: a 6 and b 3
b. The equation is satisfied by any whole numbers a and b for which a is 3 greater than b.