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20 tháng 7 2017

a, 205.510/1005

=205.55.55/1005

=1005.55/1005

=55

=3125

b, (0,9)5/(0,3)6

=(0,3.3)5/0,36

=0,55.35/0,36

=35/0,3

=810

c, 63+3.62+33/-13

=(2.3)3+3.(3.2)2+33/-13

=23.33+3.32.22+33/-13

=33.23+33.22+33/-13

=33(23+22+1)/-13

=27.13/-13

=-27

d, 46.95+69.120/84.312-611

=(22)6.(32)5+(2.3)9.3.23.5/(23)4.312-(2.3)11

=212.310+29.39.3.23.5/212.312-211.311

=212.310+212.310.5/211.311.2.3-211.311

=212.310.(1+5)/211.311(6-1)

=212.310.6/211.311.5

=2.6/3.5

=12/15

=4/5

1 tháng 8 2018

a. \(\frac{20^5.5^{10}}{100^5}\)

\(=\frac{20^5.\left(5^2\right)^5}{100^5}\)

\(=\frac{20^5.25^5}{100^5}\)

\(=\frac{500^5}{100^5}\)

\(=\left(\frac{500}{100}\right)^5\)

\(=5^5=3125\)

b. \(\frac{\left(0,9\right)^5}{\left(0,3\right)^6}\)

\(=\frac{\left(0,9\right)^5}{\left(0,3\right)^5.0,3}\)

\(=\left(\frac{0,9}{0,3}\right)^5.\frac{1}{0,3}\)

\(=3^5.\frac{1}{0,3}\)

\(=810\)

c. \(\frac{6^3+3.6^2+3^3}{-13}\)

\(=\frac{\left(3.2\right)^3+3.\left(3.2\right)^2+3^3}{-13}\)

\(=\frac{3^3\left(2^3+2^2+1\right)}{-13}\)

\(=\frac{3^3.13}{-13}\)

\(=\left(-3\right)^3\)

\(=-27\)

4 tháng 9 2016

a) \(\frac{205.5^{10}}{100^5}=\frac{41.5^{11}}{5^2.4}=\frac{41.5^9}{4}\)

b) \(\frac{\left(0,9\right)^5}{\left(0,3\right)^5}=\left(0,9:0,3\right)^5=3^5=243\)

c) \(\frac{6^2+3.6+3^2}{-13}=\frac{2^2.3^2+3.6+3^2}{-13}=\frac{3\left(2^2.3+6+3\right)}{-13}=\frac{3.21}{-13}=\frac{63}{-13}\)

d) \(\frac{4^6.9^5.6^9.120}{8^4.3^{12}-6^{11}}=\frac{\left(2^2\right)^6.\left(3^2\right)^5.\left(2.3\right)^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}=\frac{2^{24}.3^{20}.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{24}.3^{20}.5}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2^{13}.3^9.5}{5}=2^{13}.3^9\)

4 tháng 9 2016

câu c sai đề nha bạn

 

31 tháng 7 2016

a. \(\frac{20^5.5^{10}}{100^5}\)\(\frac{20^5.5^{10}}{20^5.5^5}\)\(5^5\)=\(3125\)

b. \(\frac{0,9^5}{0,3^6}\)\(\frac{0,9^5}{0,3^5.0,3}\)\(\left(\frac{0,9}{0,3}\right).\frac{1}{0,3}\)\(243.\frac{1}{0,3}\)\(810\)

c.\(\frac{6^3+3.6^2+3^3}{-13}=\frac{\left(3.2\right)^3+3.\left(3.2\right)^{^2}+3^3}{-13}=\frac{3^3.2^3+3.3^2.2^2+3^3}{-13}\)\(=\frac{3^3\left(2^3+2^2+1\right)}{-13}=\frac{3^3.13}{-13}=3^3.\left(-1\right)=-27\)

2 tháng 9 2021

Đề mik chẳng hiểu tý gì luôn

\(\dfrac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}\)

\(=\dfrac{2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}\)

\(=\dfrac{2^{13}\cdot3^{11}}{2^{11}\cdot3^{11}\cdot\left(2\cdot3-1\right)}\)

\(=\dfrac{4}{5}\)