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WorksheetsExponents Review
Total questions: 184
Worksheet time: 8hrs 2mins
According to exponent rules, when we multiply expressions with same bases we _______ the exponents.
add
subtract
multiply
divide
Simplify the following expression:
-90
-9
0
-1
1
Simplify.
(2n4 )( 5n4)
7n4
10n16
10n8
none of the above
Simplify.
a8b13
a2b7
a15b30
none of the above
Simplify.
(52)3
56
55
57
58
Simplify:
(6k2)(k)
7k3
7k2
6k2
6k3
Simplify:
(2ab)3
8a3b3
2ab3
6a3b3
8ab
Simplify: 8x2 + 3x2
11x4
24x4
11x2
24x4
Simplify: 4y3 - 2y + y3
3y
3y3
5y3-2y
5
Simply the following monomials. Express the final answer using positive exponents only!
29⋅213
Simply the following monomials. Express the final answer using positive exponents only!
8⋅8−5
Simply the following monomials. Express the final answer using positive exponents only!
(−10)6⋅(−10)−6
Simply the following monomials. Express the final answer using positive exponents only!
x4⋅x2
Simply the following monomials. Express the final answer using positive exponents only!
x3⋅x8
Simply the following monomials. Express the final answer using positive exponents only!
x8⋅x−1
Simply the following monomials. Express the final answer using positive exponents only!
x5⋅x−7⋅x
Simply the following monomials. Express the final answer using positive exponents only!
x−5⋅y−1⋅x4
Simply the following monomials. Express the final answer using positive exponents only!
x−2⋅y−1⋅x11⋅y−6
Simply the following monomials. Express the final answer using positive exponents only!
5x4⋅7x3
Simply the following monomials. Express the final answer using positive exponents only!
(9x5)⋅(−2x−2)
Simply the following monomials. Express the final answer using positive exponents only!
−4x3⋅−3x−10
Simply the following monomials. Express the final answer using positive exponents only!
(2xy)⋅(5x8y3)
Simply the following monomials. Express the final answer using positive exponents only!
32x−2y−1⋅ 18x−3y
Simply the following monomials. Express the final answer using positive exponents only!
32x−2y−1⋅ 18x−3y
Simplify using the Laws of Exponents
4248
46
4,000
410
24
5457
53
100
511
5−3
8t16t4
2t3
8t5
2t5
2⋅4⋅5=40
−4a5 (6a5)=
−24a10
−10a0
24a10
2a10
Find the missing exponent (y)
3xy ⋅ 4x3 = 12x12
9
15
-9
36
52 ⋅ 5
252
120
53
102 or 100
The bottom number of a power is called...
Power
Exponent
Base
The big one
The little number of a power is called...
Base
Power
Exponent
The little one
56y - 38y =
(a)
-19y - 23y =
(a)
32a7 - 51a7 =
19a7
83a7
-19a7
-83a7
Simplify: (3x4y5)2
9x8y10
6x8y10
9x6y7
6x6y7
Simplify the following expression: 2c3 + 8c3
10c6
10c9
10c3
10 + c3
w-13
Simplify. Express using exponents.
12x6y4
12x10y6
22x10y6
22x6y6
When dividing, I need (a) the exponents.
Evaluate the expression using the quotient rule. (subtract the exponents)
x13
x5
x36
x-5
subtract the exponents and simplify the fraction
8x4
8x8
6x4
6x8
subtract the exponents and simplify the fraction
4y6
4y22
30y6
30y22
Simplify. (subtract the exponents and simplify the fraction)
6r6
3r4
3r6
6r4
Simplify. (subtract the exponents and simplify the fraction)
16y6
9y5
16y5
9y6
Simplify.(subtract the exponents and simplify the fraction)
12x6y4
12x10y6
22x10y6
22x6y6
Simplify. (subtract the exponents and simplify the fraction)
2y24
210
2y10
2y14
Simplify. (subtract the exponents and simplify the fraction)
10x-2
2x2
2x12
10x12
Simplify (-8)-2
1/-82
1/82
1/64
-64
Simplify (-8)-2
1/-82
1/82
1/64
-64
Simplify 5-2
-10
1/25
1/-52
-1/10
9−3
Simplify y0
(a)
Simplify (-9)0
(a)
What goes up and down, but always remains in the same place?
Chair
Stairs
Car
Water
Anything raised to a power of zero is always:
0
1
itself
negative
Anything raised to a power of zero is always:
0
1
itself
negative
Simplify:
(-9)0
-9
-1
1
9
Simplify:
(32)0
-1
1/32
-1/32
1
Simplify:
(-8.6)0
0
-1
1
-8.6
Simplify:
5-2
-10
1/25
1/52
-1/10
Simplify:
4-2
-1/16
1/16
-16
16
Simplify:
2-5
1/16
-1/32
1/32
1/10
Simplify:
8-2
-1/64
1/16
1/64
-1/16
Simplify:
3-3
-1/27
1/27
1/9
-1/9
Simplify:
-(7)0
-1
1
1/7
-1/7
Write this expression using positive exponent:
9-3
93
1/9-3
1/93
729
Write this expression using positive exponent:
x-7
-7
-7x
1/x7
-1/x7
Write this expression using a positive exponent:
g-7
1/g7
g7
1/g-7
-g7
Rewrite the expression using a positive exponent:
w-13
-w13
1/w13
1/w-13
w13
Rewrite the expression using a positive exponent:
7-10
1/710
710
1/7-10
-70
Simplify:
5x-3
1/5x3
1/x5
-5/x3
5/x3
Write in simplified exponent form with no negative exponents.
8−41
841
−841
84
−84
Rewrite the expression using positive exponents:
3x⁻²
3 ⁄ x²
1 ⁄ 3x²
x² ⁄ 3
-3x²
Simplify:
33x-6
27/x6
9/x6
27x6
27/x-6
Simplify:
7a-5b3
7a5/b3
b3/7a5
7b3/a-5
7b3 /a5
Simplify:
4a-3b-2
a3b2/4
4a3/b2
4/a3b2
1/4a3b2
Simplify:
8-2a-5b3
b3/64a5
b3/16a5
a5/64b3
b3/-64a5
Simplify:
52x-5b-3
10/x5b3
25/x5b3
1/25x5b3
25/x-5b-3
Anything raised to a power of zero is always:
0
1
itself
negative
Simplify:
(-9)0
-9
-1
1
9
Simplify:
(32)0
-1
1/32
-1/32
1
Simplify:
(-8.6)0
0
-1
1
-8.6
Simplify:
5-2
-10
1/25
1/52
-1/10
Simplify:
4-2
-1/16
1/16
-16
16
Simplify:
2-5
1/16
-1/32
1/32
1/10
Simplify:
8-2
-1/64
1/16
1/64
-1/16
Simplify:
3-3
-1/27
1/27
1/9
-1/9
Simplify:
-(7)0
-1
1
1/7
-1/7
Write this expression using positive exponent:
9-3
93
1/9-3
1/93
729
Write this expression using positive exponent:
x-7
-7
-7x
1/x7
-1/x7
Write this expression using a positive exponent:
g-7
1/g7
g7
1/g-7
-g7
Rewrite the expression using a positive exponent:
w-13
-w13
1/w13
1/w-13
w13
Rewrite the expression using a positive exponent:
7-10
1/710
710
1/7-10
-70
Simplify:
5x-3
1/5x3
1/x5
-5/x3
5/x3
Write in simplified exponent form with no negative exponents.
8−41
841
−841
84
−84
Rewrite the expression using positive exponents:
3x⁻²
3 ⁄ x²
1 ⁄ 3x²
x² ⁄ 3
-3x²
Simplify:
33x-6
27/x6
9/x6
27x6
27/x-6
Simplify:
7a-5b3
7a5/b3
b3/7a5
7b3/a-5
7b3 /a5
Simplify:
4a-3b-2
a3b2/4
4a3/b2
4/a3b2
1/4a3b2
Simplify:
8-2a-5b3
b3/64a5
b3/16a5
a5/64b3
b3/-64a5
Simplify:
52x-5b-3
10/x5b3
25/x5b3
1/25x5b3
25/x-5b-3
The half-life of Uranium is 2.5 x 105 years. What is this in standard form?
2500000
250
25000
250000
Write 4.83 x 10-6 in Standard Form.
0.00048300
0.00004830
0.00000483
0.00000438
Convert 0.0000037 to Scientific Notation.
.37 x 10-7
3.7 x 10-6
37 x 10-5
370 x 10-4
Mercury’s average distance from the sun is 57,190,000 km. What is the distance in scientific notation?
5719 x 104
571.9 x 105
57.19 x 106
5.719 x 107
(3 x 107)(3.1 x 10-4)
9.3 x 10-28
9.3 x 103
6.1 x 103
6.1 x 10-28
2.1 x 106
2.1 x 10-6
9.9 x 106
9.9 x 10-6
The thickness of a human hair can be about 6 x 10-3 centimeters. Which shows this thickness in standard form?
6000 cm
0.06 cm
0.006 cm
0.0006 cm
The speed of light is about 300 million meters per second. Which expression shows this speed in scientific notation?
300 x 106
300 x 10-6
3 x 108
3 x 10-8
To travel from Earth to Saturn, the craft needs to travel a total distance of 1.4 x 109 km. A spacecraft leaves Earth’s orbit at a speed of 7 x 105 km per day. How long will it take the spacecraft to reach Saturn? Express your answer in correct scientific notation.
2 x 104
0.2 x 104
2 x 103
0.7 x 104
There are approximately 3.1 x 108 people in the United States. If on average each person has 4.1 x 101 coins lying around on dressers, in pockets, in cars, etc., how many total coins do all the people in the U.S. have?
127.1 x 108
12.71 x 109
1.271 x 1010
.1271 x 1011
There are approximately 3.61 x105 babies born every day. How many babies are born in 30 days? Choose all that are correct.
10830000
10.83 x 106
1.083 x 107
.1083 x 108
The average distance from Jupiter to the Sun is about 5 x 108 miles. The average distance from Venus to the Sun is about 7 x 107 miles. Which planet is further from the Sun?
Venus
Earth
Mars
Jupiter
Saturn
1001
in scientific notation?
.000457
If the exponent is a positive number...
If the exponent is a negative number...
8.317 x 106
in standard form?
23,948
Convert the following number to scientific notation: 43,000,000
43x10⁶
4.3×10⁷
430×10⁵
4.3×10⁻⁷
12,000,000
345,000
Convert the following number to scientific notation: 520,000,000
52 x 107
5.2 x 107
5.2 x 108
0.52 x 109
Convert the following number to scientific notation: .000457
457 x 106
457 x 10-6
4.57 x104
4.57 x 10-4
True or False: Scientific notation is made up of two number parts. The second part is a power of 10.
True
False
If the exponent is a positive number the original number was...
a really big number.
a really small number.
If the exponent is a negative number the original number was...
a really large number.
a really small number.
.000457
4.2 x 104
8.15 x 106
