For this case we have the following expression: [tex] \sqrt{10}^{\frac{3}{4}x} [/tex] By power properties, we can rewrite the square root as number 10 as a base and number 1/2 as an exponent. We have then: [tex](10^{\frac{1}{2}})^{\frac{3}{4}x}[/tex] Then, Rewriting we have: [tex]10^{ \frac{1}{2}\frac{3}{4}x}[/tex] [tex]10^{\frac{3}{8}x}[/tex] finally by properties of radicals we have: [tex] \sqrt[8]{10}^{3x} [/tex] Answer: [tex] \sqrt[8]{10}^{3x} [/tex] option 4
