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((1)/(2))^(-2)+3^(0) What is the value of the given expression? Choose 1 answer: (A) (3)/(4) (B) (5)/(4) (c) 4 (D) 5

(12)−2+30 \left(\frac{1}{2}\right)^{-2}+3^{0} \newlineWhat is the value of the given expression?\newlineChoose 11 answer:\newline(A) 34 \frac{3}{4} \newline(B) 54 \frac{5}{4} \newline(C) 44\newline(D) 55

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Full solution

Q. (12)−2+30 \left(\frac{1}{2}\right)^{-2}+3^{0} \newlineWhat is the value of the given expression?\newlineChoose 11 answer:\newline(A) 34 \frac{3}{4} \newline(B) 54 \frac{5}{4} \newline(C) 44\newline(D) 55
  1. Evaluate first term: Evaluate the first term of the expression (12)−2\left(\frac{1}{2}\right)^{-2}.\newlineA negative exponent means that we take the reciprocal of the base and then raise it to the positive of that exponent. So, (12)−2\left(\frac{1}{2}\right)^{-2} becomes (21)2\left(\frac{2}{1}\right)^2.\newlineCalculation: (21)2=22=4\left(\frac{2}{1}\right)^2 = 2^2 = 4.
  2. Evaluate second term: Evaluate the second term of the expression 303^{0}.\newlineAny non-zero number raised to the power of 00 is 11.\newlineCalculation: 30=13^{0} = 1.
  3. Add results: Add the results from Step 11 and Step 22.\newlineWe found that (12)−2=4\left(\frac{1}{2}\right)^{-2} = 4 and 30=13^{0} = 1.\newlineCalculation: 4+1=54 + 1 = 5.

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