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Course: Pre-algebra>Unit 5

Lesson 1: Meaning of exponents

Intro to exponents

Exponents represent repeated multiplication, making numbers grow quickly. For example, 2 to the 3rd power means multiplying three 2's together, resulting in 8. This concept differs from multiplication, which is simply repeated addition. Understanding exponents is essential for mastering higher-level math. Created by Sal Khan.

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• can you have an exponent that has a decimal or fraction like 5^4.8?
• Yes, it's like this:
4.8 = 4 4/5 = 24/5. So it's 5 √5 to the power of 24. So the answer is 1.
• What happens when an exponent is negative?
I don't really understand.
• leilaizarte, when you have a positive exponent, you are multiplying the base number by itself for as many times as the exponent indicates. For example, 10^3 is the same as 10 x 10 x 10, or 1000. Similarly, a negative exponent indicates how many times you must divide by that number. For example, 10^-3 is the same as 1 ÷ 10 ÷ 10 ÷ 10, or .001.
• So are Exponents like repeated multiplication?(-)
• yes you are correct
• () What are powers? I'm really confused...
• Its just another name for exponents for example 4^4 is said as four to the fourth power.
• I understand the smaller exponents but what about large ones such as 9^33 could you say 33^9 and it be the same awnser?
• The answer would be different, unlike normal multiplication, because it changes. for example, 2^3 is 8, but 3^2 is 9.
• Do you mind specifying? I can't really understand your question.
• what is 23 to the 42 power
• why doesn't 2 3 and 3 2 don't have the same answer.
• 2 * 2 * 2 is 2 to the third power which = 8. 3 * 3 is 3 to the second power which = 9. They may have the same numbers, but they are different. Have a wonderful, blessed day!
(1 vote)
• How do I divide exsponents I don't get it