1.вычислите: [latex] 9^{ \frac{3}{2} } + 27^{ \frac{2}{3} } - ( \frac{1}{16} )^{ -\frac{3}{4} } [/latex] 2. ( 3lg2 - lg24 ) : ( lg3 - lg27)

1) [latex] \sqrt[]{9^3} + \sqrt[3]{27^2}- \sqrt[4]{16^3} = \sqrt{9*9*3*3}+ \sqrt[3]{9*9*9}- [/latex][latex] \sqrt[4]{8*8*8*8}=27+9-8=28 [/latex] 2)[latex] \frac{ln2^3-ln24}{ln3-ln27}= \frac{ln \frac{8}{24}}{ln \frac{3}{27} }= \frac{ln \frac{1}{3} }{ln \frac{1}{9} } = \frac{1}{2} \frac{ln \frac{1}{3} }{ln \frac{1}{3} }= \frac{1}{2} [/latex]