1. \(\frac{1}{16}.1296=81\)
2.\(\left[\left(2^3\right)^5\right].\left[\left(2^4\right)^3\right].\left[\left(\frac{1}{2}\right)^2\right]^{13}=2^{27}.\left(\frac{1}{2}\right)^{26}=2\)
3. \(\left(\frac{3}{4}\right)^3.4^3.4=\left(\frac{3}{4}.4\right)^3.4=3^3.4=108\)
4.\(\left(\frac{7}{8}-\frac{1}{4}\right)^2.\left(\frac{5}{6}-\frac{3}{4}\right)=\left(\frac{5}{8}\right)^2.\left(\frac{1}{12}\right)=\frac{25}{64}.\frac{1}{12}=\frac{25}{768}\)
5.\(7^2.7^9=7^{11}\)
6.\(\left[7^5\left(7-1\right)\right]^2=\left[6.7^5\right]^2=6^2.7^{10}\)