Question

What is `7x^8 * 6x^3`?

Answer 1

`= 42 x^11`

Explanation:

`7x^8 xx 6x^3`

`= 7 xx 6 xx x^8 xx x^3`

`= 42xx x^8 xx x^3`

As per property :
`color(blue)(a^m xx a^n = a^(m+n)`

Applying the same to the powers of `x`
`= 42xx x^color(blue)((8+3)`

`= 42 x^11`

Answer 2

It should be `42x^(11)`

Explanation:

Here you can multiply the nombers and the `x`s to get:
`7x^8*6x^3=(7*6)(x^8*x^3)=42x^(8+3)=42x^11`
To try to "see" this operation we can say that the numbers stay together and multiply each other and the `x`s have their exponents added together;
you can check this by considering the meaning of power of `x` so that:
`(x^8*x^3)=color(red)(x*x*x*x*x*x*x*x)*color(blue)(x*x*x)=x^11`