Câu hỏi của Hoàng Thu Trần

Question

Bt:
a) 12.(-2/3) mũ 2 + 4/3
b) (3/2) mũ 2 -[ 0,5 : 2 - căn 81.(-1/2) mũ 2]
c) (-3/4 + 2/3): 5/11 + (-1/4 + 1/3)
d) -1 mũ 3 phần 15 + (-2/3) mũ 2: 2 2/3- |-5/6|
e) 3 mũ 7 nhân 8 mũ 6 phần 6 mũ 6 nhân â...

HT.Phong (9A5) · Accepted Answer

a) $12\cdot\left(-\dfrac{2}{3}\right)^2+\dfrac{4}{3}$$=12\cdot\dfrac{4}{9}+\dfrac{4}{3}$$=\dfrac{12\cdot4}{9}+\dfrac{4}{3}$$=\dfrac{16}{3}+\dfrac{4}{3}$$=\dfrac{16+4}{3}$$=\dfrac{20}{3}$b) $\left(\dfrac{3}{2}\right)^2-\left[0,5:2-\sqrt{81}\cdot\left(-\dfrac{1}{2}\right)^2\right]$$=\dfrac{9}{4}-\left(\dfrac{1}{2}:2-9\cdot\dfrac{1}{4}\right)$$=\dfrac{9}{4}-\left(\dfrac{1}{4}-9\cdot\dfrac{1}{4}\right)$$=\dfrac{9}{4}-\dfrac{1}{4}\cdot\left(1-9\right)$$=\dfrac{9}{4}+\dfrac{8}{4}$$=\dfrac{17}{4}$ c) $\left(-\dfrac{3}{4}+\dfrac{2}{3}\right):\dfrac{5}{11}+\left(-\dfrac{1}{4}+\dfrac{1}{3}\right)$$=-\dfrac{1}{12}:\dfrac{5}{11}+\dfrac{1}{12}$$=\dfrac{1}{12}\cdot-\dfrac{11}{5}+\dfrac{1}{12}$$=\dfrac{1}{12}\cdot\left(-\dfrac{11}{5}+1\right)$$=\dfrac{1}{12}\cdot-\dfrac{6}{5}$$=-\dfrac{1}{10}$ d) $\dfrac{\left(-1\right)^3}{15}+\left(-\dfrac{2}{3}\right)^2:2\dfrac{2}{3}-\left|-\dfrac{5}{6}\right|$$=-\dfrac{1}{15}+\dfrac{4}{9}:\left(2+\dfrac{2}{3}\right)-\dfrac{5}{6}$$=-\dfrac{1}{15}+\dfrac{4}{9}:\dfrac{8}{3}-\dfrac{5}{6}$$=-\dfrac{9}{10}+\dfrac{1}{6}$$=-\dfrac{11}{15}$ e) $\dfrac{3^7\cdot8^6}{6^6\cdot\left(-2\right)^{12}}$$=\dfrac{3^7\cdot\left(2^3\right)^6}{2^6\cdot3^6\cdot2^{12}}$$=\dfrac{3^7\cdot2^{18}}{2^{6+12}\cdot3^6}$$=\dfrac{2^{18}\cdot3^7}{2^{18}\cdot3^6}$$=3^{7-6}$$=3$Câu trả lời: a) $12\cdot\left(-\dfrac{2}{3}\right)^2+\dfrac{4}{3}$$=12\cdot\dfrac{4}{9}+\dfrac{4}{3}$$=\dfrac{12\cdot4}{9}+\dfrac{4}{3}$$=\dfrac{16}{3}+\dfrac{4}{3}$$=\dfrac{16+4}{3}$$=\dfrac{20}{3}$b) $\left(\dfrac{3}{2}\right)^2-\left[0,5:2-\sqrt{81}\cdot\left(-\dfrac{1}{2}\right)^2\right]$$=\dfrac{9}{4}-\left(\dfrac{1}{2}:2-9\cdot\dfrac{1}{4}\right)$$=\dfrac{9}{4}-\left(\dfrac{1}{4}-9\cdot\dfrac{1}{4}\right)$$=\dfrac{9}{4}-\dfrac{1}{4}\cdot\left(1-9\right)$$=\dfrac{9}{4}+\dfrac{8}{4}$$=\dfrac{17}{4}$ c) $\left(-\dfrac{3}{4}+\dfrac{2}{3}\right):\dfrac{5}{11}+\left(-\dfrac{1}{4}+\dfrac{1}{3}\right)$$=-\dfrac{1}{12}:\dfrac{5}{11}+\dfrac{1}{12}$$=\dfrac{1}{12}\cdot-\dfrac{11}{5}+\dfrac{1}{12}$$=\dfrac{1}{12}\cdot\left(-\dfrac{11}{5}+1\right)$$=\dfrac{1}{12}\cdot-\dfrac{6}{5}$$=-\dfrac{1}{10}$ d) $\dfrac{\left(-1\right)^3}{15}+\left(-\dfrac{2}{3}\right)^2:2\dfrac{2}{3}-\left|-\dfrac{5}{6}\right|$$=-\dfrac{1}{15}+\dfrac{4}{9}:\left(2+\dfrac{2}{3}\right)-\dfrac{5}{6}$$=-\dfrac{1}{15}+\dfrac{4}{9}:\dfrac{8}{3}-\dfrac{5}{6}$$=-\dfrac{9}{10}+\dfrac{1}{6}$$=-\dfrac{11}{15}$ e) $\dfrac{3^7\cdot8^6}{6^6\cdot\left(-2\right)^{12}}$$=\dfrac{3^7\cdot\left(2^3\right)^6}{2^6\cdot3^6\cdot2^{12}}$$=\dfrac{3^7\cdot2^{18}}{2^{6+12}\cdot3^6}$$=\dfrac{2^{18}\cdot3^7}{2^{18}\cdot3^6}$$=3^{7-6}$$=3$

⭐Hannie⭐ · Answer

$a,12\cdot\left(-\dfrac{2}{3}\right)^2+\dfrac{4}{3}\
=12\cdot\dfrac{4}{9}+\dfrac{4}{3}\
=\dfrac{16}{3}+\dfrac{4}{3}\
=\dfrac{20}{3}\
b,\left(\dfrac{3}{2}\right)^2-\left[0,5:2-\sqrt{81}.\left(-\dfrac{1}{2}\right)^2\right]\
=\dfrac{9}{4}-\left(\dfrac{1}{2}\cdot\dfrac{1}{2}-9\cdot\dfrac{1}{4}\right)\
=\dfrac{9}{4}-\left(\dfrac{1}{4}-\dfrac{9}{4}\right)\
=\dfrac{9}{4}-\left(-\dfrac{8}{4}\right)\
=\dfrac{17}{4}$$c,\left(-\dfrac{3}{4}+\dfrac{2}{3}\right):\dfrac{5}{11}+\left(-\dfrac{1}{4}+\dfrac{1}{3}\right)\
=\left(-\dfrac{9}{12}+\dfrac{8}{12}\right)\cdot\dfrac{11}{5}+\left(-\dfrac{3}{12}+\dfrac{4}{12}\right)\
=-\dfrac{1}{12}\cdot\dfrac{11}{5}+\dfrac{1}{12}\
=-\dfrac{11}{60}+\dfrac{1}{12}\
=-\dfrac{1}{10}$$d,\dfrac{-1^3}{15}+\left(-\dfrac{2}{3}\right)^2:2\dfrac{2}{3}-\left(-\dfrac{5}{6}\right)\
=-\dfrac{1}{15}+\dfrac{4}{9}\cdot\dfrac{3}{8}+\dfrac{5}{6}\
=-\dfrac{1}{15}+\dfrac{1}{6}+\dfrac{5}{6}\
=\dfrac{1}{10}+\dfrac{5}{6}\
=\dfrac{14}{15}$`e,` Không hiểu đề á c: )Câu trả lời: $a,12\cdot\left(-\dfrac{2}{3}\right)^2+\dfrac{4}{3}\
=12\cdot\dfrac{4}{9}+\dfrac{4}{3}\
=\dfrac{16}{3}+\dfrac{4}{3}\
=\dfrac{20}{3}\
b,\left(\dfrac{3}{2}\right)^2-\left[0,5:2-\sqrt{81}.\left(-\dfrac{1}{2}\right)^2\right]\
=\dfrac{9}{4}-\left(\dfrac{1}{2}\cdot\dfrac{1}{2}-9\cdot\dfrac{1}{4}\right)\
=\dfrac{9}{4}-\left(\dfrac{1}{4}-\dfrac{9}{4}\right)\
=\dfrac{9}{4}-\left(-\dfrac{8}{4}\right)\
=\dfrac{17}{4}$$c,\left(-\dfrac{3}{4}+\dfrac{2}{3}\right):\dfrac{5}{11}+\left(-\dfrac{1}{4}+\dfrac{1}{3}\right)\
=\left(-\dfrac{9}{12}+\dfrac{8}{12}\right)\cdot\dfrac{11}{5}+\left(-\dfrac{3}{12}+\dfrac{4}{12}\right)\
=-\dfrac{1}{12}\cdot\dfrac{11}{5}+\dfrac{1}{12}\
=-\dfrac{11}{60}+\dfrac{1}{12}\
=-\dfrac{1}{10}$$d,\dfrac{-1^3}{15}+\left(-\dfrac{2}{3}\right)^2:2\dfrac{2}{3}-\left(-\dfrac{5}{6}\right)\
=-\dfrac{1}{15}+\dfrac{4}{9}\cdot\dfrac{3}{8}+\dfrac{5}{6}\
=-\dfrac{1}{15}+\dfrac{1}{6}+\dfrac{5}{6}\
=\dfrac{1}{10}+\dfrac{5}{6}\
=\dfrac{14}{15}$`e,` Không hiểu đề á c: )

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