Can You Solve It?

Algebra Level 1

If x 2 x 4 = 2 \frac { { x }^{ 2 } }{ { x }^{ 4 } } =2 find ( 1 x ) 2 { \left( \frac { 1 }{ x } \right) }^{ 2 }


The answer is 2.

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4 solutions

Anik Mandal
Apr 23, 2015

x 2 x 4 = 1 x 2 = ( 1 x ) 2 = 2 \dfrac{x^2}{x^4}=\dfrac{1}{x^2}={(\dfrac{1}{x})}^2=2

Robo Peet
Jul 12, 2015

Mohammad Khaza
Jul 20, 2017

x 2 x 4 \frac { x^2}{x^4} = 1 x 2 \frac {1}{x^2} = ( 1 x ) 2 ( \frac {1}{x} )^{2} = 2 2

Mehul Arora
Apr 27, 2015

x 2 x 4 = x x x x x x \dfrac{{x}^{2}}{{x}^{4}}=\dfrac{x*x}{x*x*x*x}

Cancelling x x x*x We get,

1 2 x 2 = ( 1 x ) 2 = 2 \dfrac{{1}^{2}}{{x}^{2}} = {\left(\frac{1}{x}\right)}^{2} = 2

Hence, The required answer is 2 \boxed{2}

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