Find the value of ‘x’ which satisfies the equation \(\frac{{\sqrt {1296} }}{{{x^2} \times {3^2}}} = 16\;\)

A 1

B 2

C 0.25

D 0.75

E None of these

Correct Answer: Option E

The given expression is,

\(\frac{{\sqrt {1296} }}{{{x^2} \times {3^2}}} = 16\)

Factors of 1296 = 24 × 34

\(\Rightarrow \frac{{\sqrt {{2^4} \times {3^4}} }}{{{x^2} \times {3^2}}} = 16\)

\(\Rightarrow \frac{{{2^2} \times {3^2}}}{{{x^2} \times {3^2}}} = 16\;\)

⇒ x² = ¼

⇒ x = ½ = 0.5

None of the options match, answer is E).