Question

3√7/2401=?

Answer 1

Are you trying to simplify this?

Answer 2

yes, simplify this.

Answer 3

\[2401 = 7^4\]and \[\sqrt{7}=7^\frac{1}{2}\]You have to use power laws from here:\[\frac{3\sqrt{7}}{7^4}=3 \times 7^{\frac{1}{2}-4}=3 \times 7^{\frac{1}{2}-\frac{8}{2}}=3 \times 7^{-\frac{7}{2}}=\frac{3}{7^\frac{7}{2}}\]\[=\frac{3}{7^{\frac{6}{2}+\frac{1}{2}}}=\frac{3}{7^37^\frac{1}{2}}=\frac{3}{343\sqrt{7}}\]