Question

Find x, if 1/x = [ ( -1/2 )2 ] 3 ÷ 2-4

Answer 1

Step-by-step explanation:

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Answer 2

The value of "x" will be "x = $\frac{2}{3}$". Further explanation is given below.

Step-by-step explanation:

Given:

⇒ $\frac{1}{x}$ = [(-1/2)2]3 ÷ 2-4

On solving brackets, we get

⇒  $\frac{1}{x}$ = $\frac{[-1]3}{2-4}$

∵ $\frac{-1}{2}$×2 = -1

⇒   $\frac{1}{x}$ = $\frac{-3}{2-4}$

⇒   $\frac{1}{x}$ = $\frac{-3}{-2}$

On applying cross multiplication, we get

⇒   -2 = -3x

⇒    x = $\frac{-2}{-3}$

⇒    x = $\frac{2}{3}$

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