SAT Mathematics Practice Test 5

Since 9 can be rewritten as $3^2,9^{\frac{3}{4}}$ is equivalent to $3^{2^{\left(\frac{3}{4}\right)}}$. Applying theproperties of exponents, this can be written as $3^{\frac{3}{2}},$ which can further be rewritten as $3^{\frac{2}{2}}\left(3^{\left(\frac{1}{2}\right)}\right)$ expression that is equivalent to $3\sqrt{3}$.
Choices A is incorrect; it is equivalent to $9^{\frac{1}{3}}$ Choice B is incorrect; it is equivalent to $9^{\frac{1}{4}}$ .Choice C is incorrect; it is equivalent to $3^{\frac{1}{2}}$