Question

thuc hien tinh toan

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

b) \(\frac{6^{15}\cdot9^{10}}{3^{34}\cdot2^{13}}\)

Answer 1

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

Answer 2

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