Question

[Nguyễn Châu Mỹ Linh]

Tinh:

\(\dfrac{-3}{5}.51\dfrac{11}{13}+\dfrac{3}{5}.21\dfrac{11}{13}\)

\(\left|\dfrac{-3}{4}\right|.\left|-\dfrac{2}{3}\right|\)

\(\dfrac{-3}{5}+5\dfrac{1}{13}-\dfrac{2}{3}+1\dfrac{3}{5}-\dfrac{11}{33}\)

\(\dfrac{3}{4}.\sqrt{16}-10.\sqrt{0,81}\)

\(\left(\dfrac{3}{4}\right)^3:\left(-\dfrac{3}{8}\right)^3\)

\(\dfrac{6^4.15^3}{8.9^3.10^3}\)

GIUP MK T ^ T

Answer 1

[Nguyen Thi Huyen]

a) \(\dfrac{-3}{5}.51\dfrac{11}{13}+\dfrac{3}{5}.21\dfrac{11}{13}\)

\(=\dfrac{-3}{5}.\left(51\dfrac{11}{13}-21\dfrac{11}{13}\right)\)

\(=\dfrac{-3}{5}.30\)

\(=-18.\)

b) \(\left|\dfrac{-3}{4}\right|.\left|-\dfrac{2}{3}\right|=\dfrac{3}{4}.\dfrac{2}{3}=\dfrac{1}{2}\).

c) \(\dfrac{-3}{5}+5\dfrac{1}{13}-\dfrac{2}{3}+1\dfrac{3}{5}-\dfrac{11}{33}\)

\(=\left(1\dfrac{3}{5}-\dfrac{3}{5}\right)+5\dfrac{1}{13}-\left(\dfrac{2}{3}+\dfrac{11}{33}\right)\)

\(=1+\dfrac{66}{13}-1\)

\(=\dfrac{66}{13}.\)

d) \(\dfrac{3}{4}.\sqrt{16}-10.\sqrt{0,81}\)

\(=\dfrac{3}{4}.4-10.\dfrac{9}{10}\)

\(=3.9\)

\(=27.\)

e) \(\left(\dfrac{3}{4}\right)^3:\left(\dfrac{-3}{8}\right)^3=\dfrac{3^3}{4^3}.\dfrac{\left(-8\right)^3}{3^3}=\left(\dfrac{-8}{4}\right)^3=\left(-2\right)^3=-8\)

f) \(\dfrac{6^4.15^3}{8.9^3.10^3}=\dfrac{2^4.3^4.3^3.5^3}{2^3.3^6.2^3.5^3}=\dfrac{2.3^7}{2^3.3^6}=\dfrac{3}{2^2}=\dfrac{3}{4}.\)