Fill in the blank.

In the exponential expression 

2−2,

 the exponent is a  ---Select--- reciprocal positive base negative integer.
 

In the exponential expression \( 2^{-2} \), the exponent is a **negative** integer.

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Here are 5 related questions to explore further:

1. What does a negative exponent indicate in a mathematical expression?
2. How do you simplify \( 2^{-3} \)?
3. What is the reciprocal of \( 2^{-2} \)?
4. How would you express \( 5^{-1} \) as a fraction?
5. How do positive and negative exponents differ in their effects on a base?

**Tip:** A negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. For example, \( a^{-n} = \frac{1}{a^n} \).

In the exponential expression 2^(-2), the exponent is a ---Select--- reciprocal positive base negative integer.

Explore the concept of negative exponents using the expression 2^(-2). This detailed explanation breaks down key algebraic rules, including exponent laws, and helps students understand how to simplify negative exponents. Suitable for Grades 6-8.

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