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WorksheetsExponent Rules and Exponential Growth/Decay
Total questions: 90
Worksheet time: 2hrs 41mins
Name
Class
Date
1.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
2.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
3.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
4.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
5.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
6.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
7.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
8.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
9.
Rewrite the expression as a power.
(24)(25)
(24)(25)
a)
220
b)
49
c)
420
d)
29
10.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
11.
Simplify (c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
12.
Simplify (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
13.
x-4
a)
1/x4
b)
4x
c)
4/x4
d)
-1/x-4
14.
3-3
a)
27
b)
-9
c)
-1/9
d)
1/27
15.
x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
16.
5-2
a)
-10
b)
1/25
c)
1/10
d)
-1/10
17.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
18.
Simplify
m⁵⋅m²
m⁵⋅m²
a)
m⁷
b)
m³
c)
m¹⁰
d)
m²
19.
3⁻⁴
a)
1 ⁄ 81
b)
-81
c)
81
d)
1 ⁄ 12
20.
7-2
a)
49
b)
10/49
c)
-49
d)
1/49
21.
2-1
a)
1/2
b)
1/1
c)
-1/1
d)
-1/2
22.
What is 100 equivalent to?
a)
1
b)
10
c)
0
d)
100
23.
Solve (-8)-2
a)
1/(-8)2
b)
1/82
c)
1/64
d)
-64
24.
Rewrite using a positive exponent.
w-13
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
25.
Rewrite using a positive exponent.
7-10
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
26.
Simplify (-9)0
a)
-9
b)
-1
c)
1
d)
9
27.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
28.
Are these two equivalent: 22 = (-2)2
a)
Yes
b)
No
29.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
30.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
31.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
32.
Rewrite using a positive exponent.
(-5)-4
(-5)-4
a)
(-5)4
b)
1/(-5)-4
c)
1/(-5)4
d)
-625
33.
Rewrite each expression with a negative exponent.
1/125
1/125
a)
1/53
b)
53
c)
5-3
d)
1/5-3
34.
Rewrite each expression with a negative exponent.
1/(-5)7
1/(-5)7
a)
(-5)7
b)
1/(-5)-7
c)
(-5)-7
d)
1/78,125
35.
Simplify.
2-3 ⋅ 2-4
2-3 ⋅ 2-4
a)
1/128
b)
2-7
c)
212
d)
27
36.
Simplify.
s-5 ⋅ s-2
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3
37.
5a3b-2
a)
5a3/b-2
b)
b2/5a3
c)
5a3/b2
38.
6x2y-4z-3
a)
6x2/y-4z-3
b)
6x2/y4z3
c)
y4z3/6x2
39.
m-5/n2
a)
n2m5
b)
n2/m5
c)
1/m5n2
40.
What does this exponential graph describe?
a)
growth
b)
decay
c)
neither
41.
What does this exponential graph describe?
a)
growth
b)
decay
c)
neither
42.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)x
A=10(1.01)x
a)
Growth
b)
Decay
43.
Which function is exponential and decreasing?
a)
A
b)
B
c)
C
d)
D
44.
what character is this in the background?
a)
mickey mouse
b)
olaf
c)
lilo
d)
stich
45.
What is this movie?
a)
Lady & the Tramp
b)
Peter Pan
c)
Bambi
d)
Aladdin
46.
What is this movie?
a)
101 Dalmatians
b)
Fox & the Hound
c)
Peter Pan
d)
The Little Mermaid
47.
What is this movie?
a)
Sleeping Beauty
b)
Tangled
c)
Cinderella
d)
Aladdin
48.
What Disney character sings the song 'Mother Knows Best'?
a)
Ursula
b)
Mother Gothel
c)
The Evil Step Mother
d)
Babloo
49.
What is the name of Woody's owner in Toy Story?
a)
Andy
b)
Ryan
c)
Mark
d)
Andrew
50.
who is simbas dad
a)
scar
b)
mufasa
c)
nala
d)
rafiki
51.
What Disney film contains the classic song 'Be Our Guest'?
a)
Cinderella
b)
Beauty and the Beast
c)
Aladdin
d)
Mulan
52.
What is the name of tea cup from Beauty and the Beast?
a)
Chip Potts
b)
Mr. Potts
c)
Monsieur potts
d)
Belle
53.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
54.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
55.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
56.
Is this exponential growth or decay?
a)
Growth
b)
Decay
57.
What functions describes this graph?
a)
Linear
b)
Exponential
c)
neither
58.
Is this exponential growth or decay?
a)
Growth
b)
Decay
59.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
60.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
61.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
62.
What function type models this graph?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
63.
Is this exponential growth or decay?
a)
Growth
b)
Decay
64.
Is this exponential growth or decay?
a)
Growth
b)
Decay
65.
Is this exponential growth or decay?
a)
Growth
b)
Decay
66.
Is this exponential growth or decay?
a)
Growth
b)
Decay
67.
Is this exponential growth or decay?
a)
Growth
b)
Decay
68.
Is this exponential growth or decay?
a)
Growth
b)
Decay
69.
Is this exponential growth or decay?
a)
Growth
b)
Decay
70.
Is this exponential growth or decay?
a)
Growth
b)
Decay
71.
Is this exponential growth or decay?
a)
Growth
b)
Decay
72.
Is this exponential growth or decay?
a)
Growth
b)
Decay
73.
Pick the equation that is exponential decay
a)
y=2000(0.88)
b)
y=0.5(1.88)
74.
Pick the equation that is exponential growth
a)
y=2(0.5)x
b)
y = 0.5(2)x
75.
Who is this?
a)
Garfield
b)
Pluto
c)
Odie
d)
Peanut
76.
What does Hakuna Matata mean?
a)
Live for the Moment
b)
Circle of Life
c)
Bless You
d)
No worries
77.
What two colors are the cat's hat in "The Cat in the Hat"?
a)
Red and White
b)
Red and Blue
c)
Blue and White
d)
White and Black
78.
How many days are in August?
a)
28
b)
30
c)
31
d)
912
79.
How many countries are in the world?
a)
214
b)
171
c)
176
d)
196
80.
In Iron Man, what does J.A.R.V.I.S. stand for?
a)
Just A Reliable Virtual Intelligence System
b)
Just A Robust Virtuoso Integrated System
c)
Just A Rather Very Intelligent System
d)
Just A Robot Virtual Integration System
81.
What is the largest state in the United States?
a)
Texas
b)
Washington
c)
California
d)
Montana
82.
Which country eats the most chocolate (per person)?
a)
USA
b)
China
c)
Columbia
d)
Switzerland
83.
Who is the author of the famous Harry Potter books?
a)
J.K. Rowling
b)
J.R.R. Tolkien
c)
E.B. White
d)
Roald Dahl
84.
Hunger Games is written in the voice of 16-year-old, who lives in the post-apocalyptic nation of Panem, where the countries of North America once existed. What is her name?
a)
Katniss
b)
Peeta
c)
Haymitch
d)
Gale
85.
What school did Harry Potter go to?
a)
Hogwarts
b)
Forks High
c)
Mystic Falls High
d)
Mizzou
86.
What social media logo is this?
a)
Snapchat
b)
Flickr
c)
Twitter
d)
Yik Yak
87.
What company owns Xbox?
a)
Apple
b)
Nintendo
c)
Microsoft
d)
Mojang
88.
How many days are there in a leap year?
a)
365
b)
356
c)
366
d)
29
89.
What is the only food that does not spoil?
a)
honey
b)
sugar
c)
rice
d)
flour
90.
Finding Nemo was a story of a father trying to find his son. The sequel came out and it was titled
a)
Finding Nemo again
b)
Finding Merlin
c)
Finding Water
d)
Finding Dory
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