Question

1.вычислите: $9^{ frac{3}{2} } + 27^{ frac{2}{3} } - ( frac{1}{16} )^{ -frac{3}{4} }$
2. ( 3lg2 - lg24 ) : ( lg3 - lg27)

Answer 1

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