Which is equivalent to square root of 10 raised to the 3 fourths x power ?

Rewrite the square root of 10 as 10^(1/2). Raising it to the (3/4)x power gives 10^((1/2)(3/4)x) = 10^(3x/8). Choice B is (10^(1/8))^(3x), which also equals 10^(3x/8), so the expressions are equivalent.

AI-written and checked against the verified answer.