What will be the value of x in the given equation?\(\frac{1}{{{3^3}}}

1.	What will be the value of x in the given equation?\(\frac{1}{{{3^3}}} \times \frac{2}{{{3^3}}} \times {\left( {2\frac{1}{4}} \right)^2} = \frac{x}{{18}}\)1. 1/42. 1/23. 1/84. 45. 8
Answer» Correct Answer - Option 1 : 1/4 Given- \(\frac{1}{{{3^3}}} × \frac{2}{{{3^3}}} × {\left( {2\frac{1}{4}} \right)^2} = \frac{x}{{18}}\) Calculation- 1/27 × 2/27 × (9/4)² = x/18 ⇒ x/18 = 81/16 × 1/27 × 2/27 ⇒ x/18 = 1/72 ∴ x = 1/4

What will be the value of x in the given equation?\(\frac{1}{{{3^3}}} \times \frac{2}{{{3^3}}} \times {\left( {2\frac{1}{4}} \right)^2} = \frac{x}{{18}}\)1. 1/42. 1/23. 1/84. 45. 8

Answer» Correct Answer - Option 1 : 1/4

Given-

\(\frac{1}{{{3^3}}} × \frac{2}{{{3^3}}} × {\left( {2\frac{1}{4}} \right)^2} = \frac{x}{{18}}\)

Calculation-

1/27 × 2/27 × (9/4)² = x/18

⇒ x/18 = 81/16 × 1/27 × 2/27

⇒ x/18 = 1/72

∴ x = 1/4