Level 2 Exponents | Summary and Q&A
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TL;DR
Negative exponents can be resolved by taking the reciprocal of the base and raising it to the positive exponent.
Key Insights
- ๐คจ Negative exponents can be resolved by taking the reciprocal of the base and raising it to the positive exponent.
- #๏ธโฃ This concept applies to both whole numbers and fractions.
- ๐ป Changing a negative exponent to a positive exponent allows for easier calculation.
- โ Negative exponents follow a specific convention in mathematics.
- โ๏ธ Negative exponents are not solved through multiplication.
- ๐ฌ The order of flipping and calculating the exponent can be altered without changing the result.
- ๐คจ Negative exponents result in the inverse of the base raised to the positive exponent.
Transcript
Welcome to the presentation on the Level 2 exponents. In Level 2 exponents, the only thing we're going to add to the mix now is the concept of a negative exponent. So we learned already that 2 the third power, well, that just equals 2 times 2 times 2. Hopefully, by now, that's second nature to you, and that equals 8. Now I'm going to teach you what... Read More
Questions & Answers
Q: What is the concept of a negative exponent in level 2 exponents?
A negative exponent means taking the reciprocal of the base and raising it to the positive version of the exponent.
Q: Why is 2 to the negative third power equal to 1/8?
2 to the negative third power is equivalent to the reciprocal of 2, which is 1/2. When raised to the third power (1/2)^3, it equals 1/8.
Q: How do you resolve 3 to the negative 2 power?
To resolve 3 to the negative 2 power, take the reciprocal of 3, which is 1/3. Raise 1/3 to the positive 2 power, resulting in 1/9.
Q: What is the general rule for resolving negative exponents?
The general rule is to take the reciprocal of the base and raise it to the positive exponent.
Summary & Key Takeaways
-
Negative exponents can be resolved by taking the reciprocal of the base and raising it to the positive exponent.
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For example, 2 to the negative third power is equivalent to 1/2 to the third power, which equals 1/8.
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The same concept applies to fractions, where the reciprocal is taken before raising it to the positive exponent.
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