Question

PLEASE HELP!!!! ASAP!!!!

15 POINTS!!!!

Which expression is equivalent to (a6b−3)13 ?
a2b
ab
1ab
a3b

Answer 1

13(a6b-3)

13×6 =a78b

13×3 = 39

and then you divide them

ab=78/39

Answer = a2b

Answer 2

`\mathbf{a2b}`

Explanation:

We can simplify it twice.

1) Simplify at first by the factor outside the parentheses, namely 13. So dividing by 13.

`(a6b-3)13\\\\((a6b-3)13)/(13) \Rightarrow (a6b-3)`

2) Since 6 and -3 are have as their GCD the number 3 then we can divide them both by 3.

`((a6b))/(3)-(3)/(3)\Rightarrow (a2b)-1\Rightarrow\:a2b-1\Rightarrow a2b=1`

3) As the question just asks us the left side of the equation before the equal sign. We can rewrite a2b -1 as a2b=1 then the answer

`\mathbf{a2b}`