The Correct Answer and Explanation is:
Condensed form: 9^2
Answer: 81
Explanation
The problem asks for two things: first, to “condense” the expression 9 × 9 using an exponent, and second, to “compute” its value. Let’s break down each step.
1. Condensing the Expression
An exponent is a mathematical shorthand for repeated multiplication. When you see an expression where a number is multiplied by itself multiple times, you can write it more concisely using an exponent. An exponential expression has two main parts: the base and the exponent.
- The base is the number that is being multiplied.
- The exponent (also called the power) tells you how many times the base is multiplied by itself.
In the given expression, 9 × 9, the number being multiplied is 9. Therefore, our base is 9.
Next, we count how many times the base (9) appears in the multiplication. In this case, it appears twice. This means our exponent is 2.
To write this in condensed or exponential form, we place the exponent as a small number to the upper right of the base. This looks like 9². This is read as “nine to the power of two” or more commonly, “nine squared.” Since the instructions mention using the ^ symbol for typing, the condensed form is written as 9^2.
2. Computing the Value
The second part of the instruction is to compute the expression. This simply means to find the final numerical answer by performing the multiplication.
The expression is 9 × 9.
Multiplying 9 by 9 gives us 81.
So, the computed value of the expression 9 × 9 (or 9²) is 81.
In summary, the expression 9 × 9 is condensed into the exponential form 9^2, and its computed value is 81.
