Exponents REVIEW!!
Name:______________________________________
PART 1
1. Which of the following expressions is not equivalent to x2?
A.
B.
C.
D.
Simplify:
A. B.
C.
D.
A. Which choice is equivalent to?
3. Simplify:
4. Which choice is equivalent to ?
5.
Which choice is equivalent to ?
PART 2
A. −
B. B.
C.−
A. C.
D.
D. B. C. 5
D. PART 3
PART 4. Simplify. No negative exponents in final answer.
Part 1. Simplify.
3
1)  
7
2
2) 6 -3
3) 3a −4 b ⋅ b 12
−2
4) (-91.8)
5
5)  
8
7) (5j6)3
8) g 8 m 9 ⋅ m −5 g
8) c8d-4
z-6w6
9) z4w2
d9c2
0
6) 8 x ⋅ x 3 ⋅ x 7
9) (p11)6
PART 5
Show or explain your reasoning.
PART 6
Explain your reasoning.
PART 7
PART 8
Let be a positive integer. If (−3)9∙(−3)=(−3)14, what is ? Explain your reasoning.
PART 9
The sound intensity of the music from a stereo is
times greater than the quietest noise a person can hear. The
sound intensity of a busy road is
times greater than the quietest noise a person can hear. How many times more
intense is the sound of the stereo music than the sound of the road? Explain your reasoning.
PART 10
The area of ONE side of the same cube is 16 inches squared.
a. What is the length of the side of one side of the small cube?
b. The volume of the larger cube is 26 times larger than the smaller
cube. What is the volume of the larger cube?
c. What is the side length of the larger cube?
d. What is the ratio of the side lengths for the cubes? (How many times larger is the side length of the larger
cube than the smaller cube?)
e. How many smaller cubes will fit in the larger cube?