Answer :
Let's evaluate each exponent and compare it with the given expressions.
1. Evaluating [tex]\(10^1\)[/tex]:
- Calculate the value of [tex]\(10^1\)[/tex]:
[tex]\[ 10^1 = 10 \][/tex]
- The given expression for [tex]\(10^1\)[/tex] is [tex]\(10 \times 10 \times 10\)[/tex]:
[tex]\[ 10 \times 10 \times 10 = 1000 \][/tex]
Therefore, for [tex]\(10^1\)[/tex], the values obtained are:
[tex]\[ (10, 1000) \][/tex]
2. Evaluating [tex]\(10^3\)[/tex]:
- Calculate the value of [tex]\(10^3\)[/tex]:
[tex]\[ 10^3 = 10 \times 10 \times 10 = 1000 \][/tex]
- The given expression for [tex]\(10^3\)[/tex] is 100,000.
Therefore, for [tex]\(10^3\)[/tex], the values obtained are:
[tex]\[ (1000, 100000) \][/tex]
3. Evaluating [tex]\(10^5\)[/tex]:
- Calculate the value of [tex]\(10^5\)[/tex]:
[tex]\[ 10^5 = 10 \times 10 \times 10 \times 10 \times 10 = 100000 \][/tex]
- The given expression for [tex]\(10^5\)[/tex] is 10.
Therefore, for [tex]\(10^5\)[/tex], the values obtained are:
[tex]\[ (100000, 10) \][/tex]
Putting all the evaluated results together into a tuple, we get:
```
(10, 1000, 1000, 100000, 100000, 10)
```
Thus, the final step-by-step solution reflecting the given question and answer is complete.
1. Evaluating [tex]\(10^1\)[/tex]:
- Calculate the value of [tex]\(10^1\)[/tex]:
[tex]\[ 10^1 = 10 \][/tex]
- The given expression for [tex]\(10^1\)[/tex] is [tex]\(10 \times 10 \times 10\)[/tex]:
[tex]\[ 10 \times 10 \times 10 = 1000 \][/tex]
Therefore, for [tex]\(10^1\)[/tex], the values obtained are:
[tex]\[ (10, 1000) \][/tex]
2. Evaluating [tex]\(10^3\)[/tex]:
- Calculate the value of [tex]\(10^3\)[/tex]:
[tex]\[ 10^3 = 10 \times 10 \times 10 = 1000 \][/tex]
- The given expression for [tex]\(10^3\)[/tex] is 100,000.
Therefore, for [tex]\(10^3\)[/tex], the values obtained are:
[tex]\[ (1000, 100000) \][/tex]
3. Evaluating [tex]\(10^5\)[/tex]:
- Calculate the value of [tex]\(10^5\)[/tex]:
[tex]\[ 10^5 = 10 \times 10 \times 10 \times 10 \times 10 = 100000 \][/tex]
- The given expression for [tex]\(10^5\)[/tex] is 10.
Therefore, for [tex]\(10^5\)[/tex], the values obtained are:
[tex]\[ (100000, 10) \][/tex]
Putting all the evaluated results together into a tuple, we get:
```
(10, 1000, 1000, 100000, 100000, 10)
```
Thus, the final step-by-step solution reflecting the given question and answer is complete.