b) $5^{\frac{3}{4}}=\sqrt[4]{5^{3}}$

Step 1 ：Calculate the left side of the equation: \(5^{\frac{3}{4}}\)

Step 2 ：Calculate the right side of the equation: \(\sqrt[4]{5^{3}}\)

Step 3 ：Compare the values of both sides

Step 4 ：\(\boxed{\text{Yes, } 5^{\frac{3}{4}} \text{ is equal to } \sqrt[4]{5^{3}}}\)