Question

pls help in evaluating​

Answer 1

Answer:

-1260

Step-by-step explanation:

∵$a^{\frac{m}{n} } = \sqrt[n]{a}^{m}$

∴

$36^{\frac{7}{2} } = \sqrt[]{36}^{7} = 6^{7} \\36^{\frac{9}{2} } = \sqrt[]{36}^{9} = 6^{9} \\36^{\frac{5}{2} } = \sqrt[]{36}^{5} = 6^{5}$

∴$\frac{6^{7}- 6^{9}}{6^{5}} \\= 6^{7} (1-6^{2} )/ 6^{5} \\= 6^{2} (1-36) \\= 6^{2}- 6^{4}\\= 36- 1296\\= -1260$