1. The problem is to express the expression $$49x^{3/2}$$ in indices (exponential) form. 2. We note that $$49$$ is a perfect square and can be written as $$7^2$$. 3. Substitute $$49$$ with $$7^2$$ to get $$7^2x^{3/2}$$. 4. The expression in indices form is therefore $$7^2x^{\frac{3}{2}}$$. 5. This is a simplified expression showing the base and its power in exponential form.