Solve for x: $3^{x}-3^{x-1}$ = 486.
1). 7
2). 9
3). 5
4). 6
4. The greatest of the following numbers 0.16,$\sqrt{0.16}$,$(0.16)^{2}$, 0.04 is :
5. Evaluate : $\frac{\sqrt{24}+\sqrt{6}}{\sqrt{24}-\sqrt{6}}$
6. $(125)^{\frac{2}{3}}\times (625)^{-\frac{1}{4}}$=$5^{x}$ , then the value of x is
7. The value of $\frac{(243)^{\frac{n}{5}}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}$ is
8. Simplify : $\left(\frac{\frac{3}{2+\sqrt{3}}-\frac{2}{2-\sqrt{3}}}{2-5\sqrt{3}}\right)$
9. $\left[\sqrt[3]{2}\times \sqrt{2}\times \sqrt[3]{3}\times \sqrt{3}\right]$ is equal to