Question

How do you evaluate `(2x ^ { 2} ) ( - 2x ^ { 8} ) ( 3x ^ { 5} )`?

Answer 1

`-12x^15`

Explanation:

1) Separate variables and their coefficients.
`=(2)(-2)(3)times(x^2)(x^8)(x^5)`

2) Multiply them using the property, `color(red)(a^btimesa^c=a^(b+c)`
`=(-12)times (x)^(2+8+5)`
`=-12x^15`