Question

Question 5 of 6Which values are equivalent to the fraction below? Check all that apply.11.В.A.31 1c.33OF 3-3

Answer 1

The question is given to be:

`(3^5)/(3^8)`

Applying the law of indices:

`(a^m)/(a^n)=a^(m-n)`

Therefore, we have the expression to be:

`(3^5)/(3^8)=3^(5-8)=3^(-3)`

Recall the law of negative exponents:

`a^(-m)=(1)/(a^m)`

Therefore, the expression becomes:

`3^(-3)=(1)/(3^3)=(1)/(3*3*3)=(1)/(27)`

The expression is also equivalent to:

`((1)/(3))^3`

Since:

`((1)/(3))^3=(1^3)/(3^3)=(1)/(27)`

ANSWER

The correct options are OPTION C, OPTION E, and OPTION F.