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xxTIMURxx [149]
4 years ago
15

Do anybody know the anwer to this question? 1/64=16^2x

Mathematics
1 answer:
Neporo4naja [7]4 years ago
5 0
--------------------------------------------------
Question
--------------------------------------------------
\dfrac{1}{64} =  16^2^x


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Rewrite 64 as 2⁶ and 16 as 2⁴
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\dfrac{1}{2^6} =  (2^4)^2^x

--------------------------------------------------
Convert the denominator to numerator and evaluate the power
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2^-^6  = 2^8^x

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Since both are base 2, equate the power
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-6 = 8x

--------------------------------------------------
Divide by 8 to find x
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x = -  \dfrac{6}{8}

--------------------------------------------------
Reduced Form
--------------------------------------------------
x = - \dfrac{3}{4}

--------------------------------------------------
\bf Answer: \ = \ - \dfrac{3}{4}
--------------------------------------------------

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