Answer:
[tex]x^3\cdot x^2=x^5[/tex]
Step-by-step explanation:
The rule to multiply two powers with the same base consists in adding the exponents. The general form would be:
[tex]x^a\cdot x^b=x^{a+b}[/tex]
For verifying the previous rule, let's say that x=2, a=2 and b=3. The equation would be:
[tex]2^2\cdot 2^3=2^{5}[/tex]
[tex](4)\cdot (8)=2^{5}[/tex]
[tex]32=32[/tex]
We have obtained the result multiplying individually and applying the rule.
Now, for the [tex]x^3\cdot x^2[/tex] exercise, the result would be obtained by adding 3 and 2. It would be:
[tex]x^3\cdot x^2=x^{3+2}=x^5[/tex]
The solution is [tex]x^5[/tex]
