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Answer :
Sure, let's write each expression as a power (potens) and then calculate these powers step-by-step.
### Rewrite as Powers
a) [tex]\(2 \cdot 2 \cdot 2 \cdot 2\)[/tex] can be written as [tex]\(2^4\)[/tex].
b) [tex]\(3 \cdot 3 \cdot 3 \cdot 3\)[/tex] can be written as [tex]\(3^4\)[/tex].
c) [tex]\(10 \cdot 10 \cdot 10\)[/tex] can be written as [tex]\(10^3\)[/tex].
d) [tex]\(7 \cdot 7 \cdot 7 \cdot 7 \cdot 7\)[/tex] can be written as [tex]\(7^5\)[/tex].
e) [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex] can be written as [tex]\(5^6\)[/tex].
f) [tex]\(x \cdot x \cdot x \cdot x \cdot x \cdot x\)[/tex] can be written as [tex]\(x^6\)[/tex].
### Calculate the Powers
a) [tex]\(2^4\)[/tex]: To compute, multiply [tex]\(2 \times 2 \times 2 \times 2 = 16\)[/tex].
b) [tex]\(3^4\)[/tex]: To compute, multiply [tex]\(3 \times 3 \times 3 \times 3 = 81\)[/tex].
c) [tex]\(10^3\)[/tex]: To compute, multiply [tex]\(10 \times 10 \times 10 = 1000\)[/tex].
d) [tex]\(7^5\)[/tex]: To compute, multiply [tex]\(7 \times 7 \times 7 \times 7 \times 7 = 16807\)[/tex].
e) [tex]\(5^6\)[/tex]: To compute, multiply [tex]\(5 \times 5 \times 5 \times 5 \times 5 \times 5 = 15625\)[/tex].
f) The expression [tex]\(x^6\)[/tex] remains as it is because it is a variable.
### Summary of Results
- [tex]\(2^4 = 16\)[/tex]
- [tex]\(3^4 = 81\)[/tex]
- [tex]\(10^3 = 1000\)[/tex]
- [tex]\(7^5 = 16807\)[/tex]
- [tex]\(5^6 = 15625\)[/tex]
- [tex]\(x^6\)[/tex] (no numerical value)
These are the calculated values for each power. Let me know if there's anything else you need help with!
### Rewrite as Powers
a) [tex]\(2 \cdot 2 \cdot 2 \cdot 2\)[/tex] can be written as [tex]\(2^4\)[/tex].
b) [tex]\(3 \cdot 3 \cdot 3 \cdot 3\)[/tex] can be written as [tex]\(3^4\)[/tex].
c) [tex]\(10 \cdot 10 \cdot 10\)[/tex] can be written as [tex]\(10^3\)[/tex].
d) [tex]\(7 \cdot 7 \cdot 7 \cdot 7 \cdot 7\)[/tex] can be written as [tex]\(7^5\)[/tex].
e) [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex] can be written as [tex]\(5^6\)[/tex].
f) [tex]\(x \cdot x \cdot x \cdot x \cdot x \cdot x\)[/tex] can be written as [tex]\(x^6\)[/tex].
### Calculate the Powers
a) [tex]\(2^4\)[/tex]: To compute, multiply [tex]\(2 \times 2 \times 2 \times 2 = 16\)[/tex].
b) [tex]\(3^4\)[/tex]: To compute, multiply [tex]\(3 \times 3 \times 3 \times 3 = 81\)[/tex].
c) [tex]\(10^3\)[/tex]: To compute, multiply [tex]\(10 \times 10 \times 10 = 1000\)[/tex].
d) [tex]\(7^5\)[/tex]: To compute, multiply [tex]\(7 \times 7 \times 7 \times 7 \times 7 = 16807\)[/tex].
e) [tex]\(5^6\)[/tex]: To compute, multiply [tex]\(5 \times 5 \times 5 \times 5 \times 5 \times 5 = 15625\)[/tex].
f) The expression [tex]\(x^6\)[/tex] remains as it is because it is a variable.
### Summary of Results
- [tex]\(2^4 = 16\)[/tex]
- [tex]\(3^4 = 81\)[/tex]
- [tex]\(10^3 = 1000\)[/tex]
- [tex]\(7^5 = 16807\)[/tex]
- [tex]\(5^6 = 15625\)[/tex]
- [tex]\(x^6\)[/tex] (no numerical value)
These are the calculated values for each power. Let me know if there's anything else you need help with!
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Rewritten by : Barada
