Question

Perform the indicated operation.

x3 • x2

Answer 1

I believe it would be x5 considering you must add exponents when you multiply.

Answer 2

`x^3\cdot x^2=x^5`

Explanation:

The rule to multiply two powers with the same base consists in adding the exponents. The general form would be:

`x^a\cdot x^b=x^(a+b)`

For verifying the previous rule, let's say that x=2, a=2 and b=3. The equation would be:

`2^2\cdot 2^3=2^(5)`

`(4)\cdot (8)=2^(5)`

`32=32`

We have obtained the result multiplying individually and applying the rule.

Now, for the
`x^3\cdot x^2` exercise, the result would be obtained by adding 3 and 2. It would be:

`x^3\cdot x^2=x^(3+2)=x^5`

The solution is
`x^5`