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Which is equal to 173\frac{1}{7^3}?\newlineChoices:\newline(A) (7)3(-7)^3\newline(B) 73-7^3\newline(C) 737^{-3}\newline(D) 173-\frac{1}{7^{-3}}

Full solution

Q. Which is equal to 173\frac{1}{7^3}?\newlineChoices:\newline(A) (7)3(-7)^3\newline(B) 73-7^3\newline(C) 737^{-3}\newline(D) 173-\frac{1}{7^{-3}}
  1. Understand expression 1/731/7^3: Step 11: Understand the expression 1/731/7^3.\newline1/731/7^3 simplifies to (1/7)×(1/7)×(1/7)=1/343(1/7) \times (1/7) \times (1/7) = 1/343.
  2. Analyze choices for 1343\frac{1}{343}: Step 22: Analyze the choices to find which matches 1343\frac{1}{343}.\newline(A) (7)3=343(-7)^3 = -343.

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