Question

Findthevalueof(1/2)-²+(1/3)-²+(1/4)-².

Answer 1

hope this will help you....

Answer 2

Answer:

$Value \: of \: \left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}=29$

Step-by-step explanation:

$Value \: of \: \left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}$

$=2^{2}+3^{2}+4^{2}$

$By \: Exponential Law:\\\boxed {a^{-n} = \frac{1}{a^{n}}}$

$= 4+9+16\\=29$

Therefore,

$Value \: of \: \left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}=29$

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