# Level 2 Exponents | Summary and Q&A

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November 19, 2006
by
Khan Academy
Level 2 Exponents

## TL;DR

Negative exponents can be resolved by taking the reciprocal of the base and raising it to the positive exponent.

## 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.

• For example, 2 to the negative third power is equivalent to 1/2 to the third power, which equals 1/8.

• The same concept applies to fractions, where the reciprocal is taken before raising it to the positive exponent.

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