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Select all the expressions that are equivalent to (113)0(11^3)^0.\newlineMulti-select Choices:\newline(A) 11\newline(B) 11011^0\newline(C) 1111\newline(D) 1110\frac{1}{11^0}

Full solution

Q. Select all the expressions that are equivalent to (113)0(11^3)^0.\newlineMulti-select Choices:\newline(A) 11\newline(B) 11011^0\newline(C) 1111\newline(D) 1110\frac{1}{11^0}
  1. Evaluate Choices: Now let's evaluate each choice to see if it is equivalent to 11.
    (A) 11 is clearly equivalent to (113)0(11^3)^0, because as we established, any number to the power of 00 is 11.
  2. Equivalence of (113)0(11^3)^0: (B) 11011^0 is also equivalent to (113)0(11^3)^0 because 11011^0 is 11 by the same exponent rule.
  3. Equivalence of 11011^0: (C) 1111 is not equivalent to (113)0(11^3)^0 because 1111 is not equal to 11.
  4. Non-Equivalence of 1111: (D) 1110\frac{1}{11^0} is equivalent to (113)0(11^3)^0 because 11011^0 is 11, and 11 divided by 11 is 11.

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