Question

How do you multiply `2x ^ { 2} \cdot ( 3x ^ { 3} ) ^ { 3}`?

Answer 1

You just need to expand

Explanation:

First, remember PEDMAS. This tells you the order in which to expand or solve equations/expressions.
Parenthesis
Exponents
Division
Multiplication
Addition
Subtraction
By using this idea, expand the power in first, which will give you
`2xxx^2((3^3xxx^(3xx3))`
`2x^2(27x^9)`
You then expand the brackets, which will give u
`2x^2xx27x^9`
`27xx2xxx^(9+2)`
`54x^11`

Answer 2

`54x^11`

Explanation:

This is all one term. Remove the bracket by cubing what is inside:

`2x^2 xx color(blue)((3x^3)^3)`

`=2x^2 xx color(blue)(27x^9)`

Now multiply as usual.

`= 54x^11" "larr` multiply the numbers and add the indices,