Question

Select all that apply. (abc) 2 = This expression without exponents is abcabc aabbcc a 2 b 2 c 2 ababab

Answer 1

A.
`abcabc`

B.
`aabbcc`

Explanation:

We have been given an expression
`(abc)^2`. We are asked to choose the correct options that our equivalent to our given expression without exponents.

Let us check our given choices one by one.

A.
`abcabc`

We know
`(mn)^2=mn\cdot mn`, therefore, option A is the correct choice.

B.
`aabbcc`

We know
`x^2=x\cdot x`. So, we can rewrite our given expression as:

`(abc)^2\rightarrow a^2b^2c^2=a\cdot a\cdot b\cdot b\cdot c\cdot c=aabbcc`

Therefore, option B is the correct choice.

C.
`a^2b^2c^2`

Since option C contains exponents, therefore, option C is not correct choice.

D.
`aabb`

Since term
`cc` is missing from option D, therefore, it is not a correct choice.

Answer 2

aabbcc

abcabc

Explanation:

(abc) ^2

(abc) * (abc)

abc abc

a* a* b* b* c* c

The third terms tries to trick you. It is equal, but it has exponents

The fourth terms does not have any "c" terms