Question

simplify: (1/4)^-2-(1/3)^-2-(1/2)-2+(1/6)-2​

Answer 1

Step-by-step explanation:

${( \frac{1}{4} )}^{ - 2} - {( \frac{1}{3}) }^{ - 2} - {( \frac{1}{2} )}^{ - 2} + {( \frac{1}{6}) }^{ - 2} \\ = \frac{ {1}^{ - 2} }{ {4}^{ - 2} } - \frac{ {1}^{ - 2} }{ {3}^{ - 2} } - \frac{ {1}^{ - 2} }{ {2}^{ - 2} } + \frac{ {1}^{ - 2} }{ {6}^{ - 2} } \\ = \frac{ {4}^{2} }{ {1}^{2} } - \frac{ {3}^{2} }{ {1}^{2} } - \frac{ {2}^{2} }{ {1}^{2} } + \frac{ {6}^{2} }{ {1}^{2} } \\ = {4}^{2} - {3}^{2} - {2}^{2} + {6}^{2} \\ = 16 - 9 - 4 + 36 \\ = 16 - 13 + 36 \\ = 3 + 36 \\ = 39$

Hope you get your answer

Answer 2

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Step-by-step explanation:

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