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

Question 5 of 6Which values are equivalent to the fraction below? Check all that apply-example-1

1 Answer

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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.

User Dean Radcliffe
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