Correct Answer - Option 4 : 5
\(x^{(y^{z} )}=1 \) …… (i)
∴ x = 1, because for any value of yz
If x = 1, then, \(x^{y^{z} }\) remain 1.
∴ x = 1
\(y^{z^{x }}=125\)…… (ii)
We can verify value from this equation by putting x = 1, y = 5 and z = 3
⇒\(5^{3^{1}}=125\)
Again,
\(z^{y^{x}}=243 \) …… (iii)
⇒\(z^{y^{x}}=3^{5^{1}}=243\)
∴ It is clear that –
⇒ x = 1, y = 5 and z = 3
The value of 9x + 10y – 18z
⇒ 9 + 50 – 54
⇒ 5