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Flashcards on Exponents and Powers
Click on the flashcard to see the answer
What is an exponent?
An exponent is a small, raised number that tells how many times a base number should be multiplied by itself.
What is a power?
A power is the result of raising a base number to an exponent.
What does 2³ represent?
2³ represents 2 raised to the power of 3, which means multiplying 2 by itself 3 times (2 * 2 * 2 = 8).
What does 5² represent?
5² represents 5 raised to the power of 2, which means multiplying 5 by itself 2 times (5 * 5 = 25).
What is the value of 4⁰?
The value of any number raised to the power of 0 is always 1. So, 4⁰ = 1.
What is the value of 6¹?
The value of any number raised to the power of 1 is the number itself. So, 6¹ = 6.
Simplify: 2³ * 2².
2³ * 2² = 2^(3+2) = 2⁵ = 32.
Simplify: (4²)³.
(4²)³ = 4^(2*3) = 4⁶ = 4096.
Simplify: 8⁴ ÷ 8².
8⁴ ÷ 8² = 8^(4-2) = 8² = 64.
Simplify: (5⁴)².
(5⁴)² = 5^(4*2) = 5⁸.
What is the value of (-3)²?
The value of a negative number raised to an even exponent is positive. So, (-3)² = 9.
What is the value of (-2)³?
The value of a negative number raised to an odd exponent is negative. So, (-2)³ = -8.
Simplify: (2⁻³)⁻².
(2⁻³)⁻² = 2^((-3)*(-2)) = 2^6 = 64.
Simplify: (10⁻²)⁻¹.
(10⁻²)⁻¹ = 10^((-2)*(-1)) = 10² = 100.
Simplify: (7⁴) ÷ 7².
(7⁴) ÷ 7² = 7^(4-2) = 7² = 49.
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Test Your Knowledge
What is the value of 3⁰?
0
1
3
9
Check Answers
Simplify: 2⁵ ÷ 2³.
4
6
8
16
Check Answers
What is the value of (-4)⁶?
-24
4096
-4096
24
Check Answers
Simplify: (5²)⁻³.
1/125
20
250
625
Check Answers
What is the value of 11⁻¹?
0
1/11
-1/11
11
Check Answers
Simplify: (8⁻²)⁻³.
1/4
-1/4
1/512
-1/512
Check Answers
What is the value of 6³ ÷ 6¹?
6
18
216
36
Check Answers
Simplify: (3²)².
6
81
9
27
Check Answers
What is the value of (-5)⁴?
625
-625
25
-25
Check Answers
Simplify: 5⁴ * 5².
25
100
550
3125
Check Answers
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