Question

Question 5 of 6Which values are equivalent to the fraction below? Check all that apply.3637O A.O B. 313oc.D. 33I E.ORIE 3-3

Answer 1

Answer:

C. 1/27

E. (1/3)^3

F. 3^(-3)

Explanation:

We have a fraction where the numerator and the denominator have the same base. Therefore, we can subtract the exponents to get:

$\frac{3^5}{3^8}=3^{5-8}=3^{-3}$

On the other hand, a negative exponent is also equivalent to:

$3^{-3}=(\frac{1}{3})^3$

Solving this expression, we get

$(\frac{1}{3})^3=\frac{1^3}{3^3}=\frac{1}{27}$

Therefore, the answers are:

C. 1/27

E. (1/3)^3

F. 3^(-3)