The Correct Answer and Explanation is:
✅ Correct Answer Condensed form: 9^2 Answer: 81
🧠 Explanation The original expression is 9 multiplied by 9, written mathematically as 9 × 9. Since both factors are the same, this is a case of repeated multiplication of the same number. In mathematics, repeated multiplication of the same number is expressed using exponents.
An exponent tells us how many times to use the base number in a multiplication. The general form is base^exponent.
- Here, the base is 9 because that’s the number being multiplied.
- Since 9 is multiplied twice, the exponent is 2.
Therefore, the condensed form using an exponent is: 9^2
To compute this: 9^2 = 9 × 9 = 81
This process simplifies expressions and makes calculations easier to read, especially when dealing with large numbers or multiple repetitions. For instance:
- 2 × 2 × 2 × 2 can be written as 2^4
- 5 × 5 × 5 = 5^3
Using exponents is also foundational in algebra, geometry, physics, and computer science. It sets the stage for understanding powers, scientific notation, exponential growth, and more.
So in summary:
- You take repeated multiplication of the same number
- Use the number as the base
- Use the count of how many times it’s multiplied as the exponent
- Calculate the result using standard multiplication
