RRB Technician Grade I 13 March 2026 Paper

Concept:Use the property of exponents that when bases are equal, the exponents must be equal, after substituting the given values into the equation.Explanation:We have $x = 112^{0.17}$ and $y = 112^{0.94}$.Substitute these into $x^z = y^6$.This yields $(112^{0.17})^z = (112^{0.94})^6$.Using the power of a power rule, $(a^m)^n = a^{m \times n}$.The equation becomes $112^{0.17z} = 112^{0.94 \times 6}$.Calculate $0.94 \times 6 = 5.64$.Now the bases are identical, so set the exponents equal.Thus $0.17z = 5.64$.Divide both sides by $0.17$ to solve for $z$.$z = \frac{5.64}{0.17} = \frac{564}{17} \approx 33.17647$.So $z \approx 33.18$.Answer:The value of $z$ is approximately $33.18$.