Certainly! Let's break down the problem step-by-step to understand its components and the final computation.
We are given the expression:
[tex]\[ 9^4 \][/tex]
### Step 1: Identifying the Components
1. Coefficient: In the expression [tex]\( 9^4 \)[/tex], there is no explicit coefficient written in front of the base. Therefore, the implicit coefficient is:
- Coefficient: [tex]\( 1 \)[/tex]
2. Base: The base of our expression is the number being raised to a power. Here the base is:
- Base: [tex]\( 9 \)[/tex]
3. Exponent: The exponent specifies how many times the base is multiplied by itself. In this problem, the exponent is:
- Exponent: [tex]\( 4 \)[/tex]
### Step 2: Calculating the Result
4. Calculation:
- The expression [tex]\( 9^4 \)[/tex] means [tex]\( 9 \times 9 \times 9 \times 9 \)[/tex].
- When we compute [tex]\( 9^4 \)[/tex], we get:
[tex]\[ 9^4 = 6561 \][/tex]
### Final Components
Putting it all together, we have:
- Co-efficient: [tex]\( 1 \)[/tex]
- Base: [tex]\( 9 \)[/tex]
- Exponent: [tex]\( 4 \)[/tex]
- Result: [tex]\( 6561 \)[/tex]
Thus, the solution to the expression [tex]\( 9^4 \)[/tex] components and final result are:
[tex]\[
\boxed{
\text{Co-efficient: } 1 \\
\text{Base: } 9 \\
\text{Exponent: } 4 \\
\text{Result: } 6561
}
\][/tex]
