Sure! Let's reduce each of the given expressions step-by-step:
1. Reduce:
a) [tex]\( x^{12} \)[/tex]
Solution:
The expression [tex]\( x^{12} \)[/tex] is already in its simplest form. There is no further reduction needed.
Answer: [tex]\( x^{12} \)[/tex]
2. Reduce:
d) [tex]\( x^5 \)[/tex]
Solution:
The expression [tex]\( x^5 \)[/tex] is also already in its simplest form. There is no further reduction needed.
Answer: [tex]\( x^5 \)[/tex]
3. Reduce:
b) [tex]\( x \)[/tex]
Solution:
The expression [tex]\( x \)[/tex] is in its simplest form as well. There is no further reduction needed.
Answer: [tex]\( x \)[/tex]
4. Reduce:
e) [tex]\( x^{-2} \)[/tex]
Solution:
The expression [tex]\( x^{-2} \)[/tex] is already in its simplest form. There is no further reduction needed.
Answer: [tex]\( x^{-2} \)[/tex]
5. Reduce:
c) [tex]\( x^{10} \)[/tex]
Solution:
The expression [tex]\( x^{10} \)[/tex] is also in its simplest form. There is no further reduction needed.
Answer: [tex]\( x^{10} \)[/tex]
So, all the expressions are already in their simplest reduced forms:
- a) [tex]\( x^{12} \)[/tex]
- d) [tex]\( x^5 \)[/tex]
- b) [tex]\( x \)[/tex]
- e) [tex]\( x^{-2} \)[/tex]
- c) [tex]\( x^{10} \)[/tex]
