Question

Please , I am really bad at math, can you explain how you get the answer when you answer

Answer 1

The answer would be the last one

Answer 2

For this case we have the following expression:
 $\sqrt{10}^{\frac{3}{4}x}$
 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:
 $(10^{\frac{1}{2}})^{\frac{3}{4}x}$
 Then, Rewriting we have:
 $10^{ \frac{1}{2}\frac{3}{4}x}$
 $10^{\frac{3}{8}x}$
 finally by properties of radicals we have:
 $\sqrt[8]{10}^{3x}$
 Answer:
 $\sqrt[8]{10}^{3x}$
 option 4