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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

Question 5 Of 6Which Values Are Equivalent To The Fraction Below Check All That Apply3637O AO B 313ocD 33I EORIE 33 class=

Sagot :

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:

[tex]\frac{3^5}{3^8}=3^{5-8}=3^{-3}[/tex]

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

[tex]3^{-3}=(\frac{1}{3})^3[/tex]

Solving this expression, we get

[tex](\frac{1}{3})^3=\frac{1^3}{3^3}=\frac{1}{27}[/tex]

Therefore, the answers are:

C. 1/27

E. (1/3)^3

F. 3^(-3)