Question

Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline) squared (x Superscript negative 18 Baseline) squared (x Superscript negative 3 Baseline) squared (x Superscript negative 2 Baseline) squared x Superscript 6 Baseline x Superscript negative 12 Baseline x Superscript 5 Baseline x Superscript negative 4. Need Help ASAP!

Answer 1

b d

Explanation:

Answer 2

`(x^(-3) )^(2)`

`x^6 x^(-12)`

Explanation:

`(x^(3) x^(-6) )^(2)` is the expression given to be solved.

First of all let us have a look at 3 formulas:

`1.\ p^a * p^b = p^((a+b))\\2.\ (p^a * q^b)^c = (p^(a))^c * (q^(b))^c\\3.\ (p^a)^b = p^(a* b)`

Both the formula can be applied to the expression(
`(x^(3) x^(-6) )^(2)`) during the first step while solving it.

Applying formula (1):

`(x^(3) x^(-6) )^(2)`

Comparing the terms of
`(x^(3) x^(-6) )` with
`p^a * p^b`

`p=x, a =3, b=-6`

`\Rightarrow x^(3+(-6))\\\Rightarrow x^(3-6)\\\Rightarrow x^(-3)`

So,
`(x^(3) x^(-6) )^(2)` is reduced to
`(x^(-3) )^(2)`

Applying formula (2):

Comparing the terms of
`(x^(3) x^(-6) )^(2)` with
`(p^a * q^b)^c`

`p=q=x, a =3, b=-6, c=2`

`\Rightarrow (x^(3))^2* (x^(-6))^2\\\text{Applying Formula (3)}\\x^6 x^(-12)`

So,
`(x^(3) x^(-6) )^(2)` is reduced to
`x^6 x^(-12)`.

So, the answers can be:

`(x^(-3) )^(2)`

`x^6 x^(-12)`