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If 
f(x)=((1)/(4))^(x), what is the value of 
f(3)?
Choose 1 answer:
(A) 
(3)/(4)
(B) 
(1)/(16)
(C) 
(1)/(64)
(D) 
(1)/(256)
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If f(x)=(14)xf(x)=\left(\frac{1}{4}\right)^x, what is the value of f(3)f(3)?\newlineChoose 11 answer:\newline(A) 34\frac{3}{4}\newline(B) 116\frac{1}{16}\newline(C) 164\frac{1}{64}\newline(D) 1256\frac{1}{256}

Full solution

Q. If f(x)=(14)xf(x)=\left(\frac{1}{4}\right)^x, what is the value of f(3)f(3)?\newlineChoose 11 answer:\newline(A) 34\frac{3}{4}\newline(B) 116\frac{1}{16}\newline(C) 164\frac{1}{64}\newline(D) 1256\frac{1}{256}
  1. Identify Function and Value: Identify the function and the value to be substituted into the function.\newlineThe function given is f(x)=(14)xf(x) = (\frac{1}{4})^x, and we need to find the value of f(3)f(3).
  2. Substitute x=3x = 3: Substitute x=3x = 3 into the function.\newlinef(3)=(14)3f(3) = (\frac{1}{4})^3
  3. Calculate (1/4)3(1/4)^3: Calculate the value of (1/4)3.(1/4)^3.(1/4)3=13/43=1/64(1/4)^3 = 1^3 / 4^3 = 1 / 64
  4. Verify Answer Choices: Verify the answer choices to find the correct one.\newlineThe correct answer is (C) 164\frac{1}{64}.

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