a) \(\left|\frac{-15}{6}\right|-\left|\frac{3}{18}\right|.\sqrt{81}+\sqrt{\frac{9}{64}}\)

\(=\frac{15}{6}-\frac{1}{6}.9+\frac{3}{8}\)

\(=\frac{15}{6}-\frac{9}{6}+\frac{3}{8}\)

\(=1+\frac{3}{8}\)

\(=\frac{11}{8}\)

b) \(\frac{6^{15}.9^{10}}{3^{34}.2^{13}}=\frac{\left(2.3\right)^{15}.\left(3^2\right)^{10}}{3^{34}.2^{13}}=\frac{2^{15}.3^{15}.3^{20}}{3^{34}.2^{13}}=2^2.3=12\)

a/ \(\left|\frac{-15}{6}\right|-\left|\frac{3}{18}\right|.\sqrt{81}+\sqrt{\frac{9}{64}}\)

= \(\frac{15}{6}-\frac{3}{18}.9+\frac{8}{8}\)

= \(\frac{15}{6}-\frac{3}{2}+\frac{3}{8}\)

= \(\frac{60-36+9}{24}=\frac{33}{24}=\frac{11}{8}\)

b/ \(\frac{6^{15}.9^{10}}{3^{34}.2^{13}}=\frac{\left(2.3\right)^{15}.\left(3^2\right)^{10}}{3^{34}.2^{13}}\) \(=\frac{2^{15}.3^{15}.3^{20}}{3^{34}.2^{13}}=\frac{2^2.3^{35}}{3^{34}}=\frac{4.3}{1}=12\)

a) = \(\frac{7}{2}\)

b) = \(\frac{643}{64}\)

c) = 0

\(\frac{2}{3}\sqrt{81}-\left(\frac{-3}{4}\right):\sqrt{\frac{9}{64}}-\left(\frac{\sqrt{5}}{2011}\right)^0\)

\(=\frac{2}{3}\cdot9+\frac{3}{4}\cdot\frac{8}{3}-1\)

\(=6+2-1\)

\(=7\)

\(\frac{2}{3}\sqrt{81}-\left(-\frac{3}{4}\right):\sqrt{\frac{9}{64}}-\left(\frac{\sqrt{5}}{2011}\right)^0=\frac{2}{3}.9-\left(-2\right)-1=6+2-1=7\)

\(a,\frac{-5}{9}.\left(\frac{3}{10}-\frac{2}{5}\right)\)

\(=\frac{-5}{9}.\frac{-1}{10}\)

\(=\frac{1}{18}\)

\(b,2^8:2^5+3^3.2-12\)

\(=2^3+9.2-12\)

\(=8+18-12\)

\(=26-12\)

\(=14\)

Câu c,d em chưa học nên không biết làm ạ, mong mọi người thông cảm!!!

Sửa lại câu b

\(=2^3+27.2-12\)

\(=8+54-12\)

\(=62-12\)

\(=50\)

13.737373244

1. a) 3+2=5

b) 0,5-0,1=0,4

c) 4/5-1/9=31/45

d) 2-0,6=1,4

2. a) 8-4+3=7

b) 11+5-3=13

c) 3/2-4/6-7-37/6

d) 4+5-6=3

Mơn nhìu <3

a) \(\frac{15^{15}.5^{10}}{9^7.25^{13}}=\frac{3^{15}.5^{15}.5^{10}}{3^{14}.5^{26}}=\frac{3.5^{25}}{5^{26}}=\frac{3}{5}\)

b) \(\sqrt{\frac{4}{81}}:\sqrt{\frac{25}{81}}-1\frac{2}{5}\)

\(=\sqrt{\frac{2^2}{9^2}}:\sqrt{\frac{5^2}{9^2}}-\frac{7}{5}\)

\(=\frac{2}{9}:\frac{5}{9}-\frac{7}{5}\)

\(=\frac{2}{9}.\frac{9}{5}-\frac{7}{5}\)

\(=\frac{2}{5}-\frac{7}{5}\)

\(=\frac{-5}{5}=-1\)

c) \(\left(3^2\right)^2-625+64\)

\(=3^4-625+64\)

\(=81-625+64\)

\(=-480\)

d) \(\frac{\sqrt{3^2}-\sqrt{39^2}}{\sqrt{7^2}-\sqrt{91^2}}\)

\(=\frac{3-39}{7-91}\)

\(=\frac{-36}{-84}\)

\(=\frac{3}{7}\)

\(\sqrt{\frac{1}{9}+\frac{1}{16}}\)

\(=\frac{1}{3}+\frac{1}{4}\)

\(=\frac{7}{12}\)

\(\sqrt{4+36+81}\)

\(=\sqrt{121}\)

\(=\pm11\)