Question

please answer this question​

Answer 1

${( \frac{1}{100} )}^{x} = \sqrt{10} \\ {( \frac{1}{ {10}^{2} } )}^{x} = {10}^{ \frac{1}{2} } \\ {10}^{ - 2x} = {10}^{ \frac{1}{2} } \\ - 2x = \frac{1}{2} \\ x = \frac{1}{2} \times ( - \frac{1}{2} ) \\ x = \frac{ - 1}{4}$