Answer: The correct option is (C) [tex]a^5.[/tex]
Step-by-step explanation: We are given to choose the correct simplification for the following expression :
[tex]P=a^2.a^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following property of exponents :
[tex]x^a.x^b=x^{a+b}.[/tex]
So, the simplification of expression (i) is as follows :
[tex]P\\\\=a^2.a^3\\\\=a^{2+3}\\\\=a^5.[/tex]
Thus, the correct simplification of the given expression is [tex]a^5.[/tex]
Option (C) is CORRECT.
Answer:the answer would be a^5 I just took the test and got it right!
