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Which is equal to 144\frac{1}{4^4}?\newlineChoices:\newline(A) 14−4\frac{1}{4^{-4}}\newline(B) −44-4^4\newline(C) (−4)4(-4)^4\newline(D) 4−44^{-4}

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Full solution

Q. Which is equal to 144\frac{1}{4^4}?\newlineChoices:\newline(A) 14−4\frac{1}{4^{-4}}\newline(B) −44-4^4\newline(C) (−4)4(-4)^4\newline(D) 4−44^{-4}
  1. Calculate 1/441/4^4: Calculate 1/441/4^4.\newline1/44=1/(4∗4∗4∗4)=1/2561/4^4 = 1/(4*4*4*4) = 1/256
  2. Compare with choices: Compare the result with the choices.\newline(A) 14−4=1(1/44)=256\frac{1}{4^{-4}} = \frac{1}{(1/4^4)} = 256 (not 1256\frac{1}{256})

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