Math, asked by devsanjay07, 1 month ago

Evaluate [1^-2 + 2^-2 + 3^-2] X 6^2
[Mention the laws used]

Answers

Answered by janugadipudi
0

Answer:

49

Step-by-step explanation:

exponents and powers

Answered by mk8471139
1

Answer:

7² or 49

Step-by-step explanation:

 ({1}^{ - 2}  +   {2}^{ - 2}   +  {3}^{ - 2} ) \times  {6}^{2}  \\  =  \frac{1}{ {1}^{2} }  +  \frac{1}{ {2}^{2} }  +  \frac{1}{ {3}^{2} }  \times  {6}^{2}  \\ ( {x}^{ - y}  =  \frac{1}{{x}^{y} } ) \\   \frac{1}{1} +  \frac{1}{4}  +  \frac{1}{9}  \times  {6}^{2}  \\  =  \frac{36 + 9 + 4}{36}  \times 36 \\  =  \frac{49}{36}  \times 36 \\  = 49 =  {7}^{2}

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