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Bài làm :
\(\frac{125^6.3^{61}.8^{10}}{4^{15}.25^9.9^{30}}\)
\(=\frac{\left(5^3\right)^6.3^{61}.\left(2^3\right)^{10}}{\left(2^2\right)^{15}.\left(5^2\right)^9.\left(3^2\right)^{30}}\)
\(=\frac{5^{18}.3^{61}.2^{30}}{2^{30}.5^{18}.3^{60}}\)
\(=3\)
Học tốt nhé
Bài làm :
Ta có :
\(\frac{125^6.3^{61}.8^{10}}{4^{15}.25^9.9^{30}}\)
\(=\frac{\left(5^3\right)^6.3^{61}.\left(2^3\right)^{10}}{\left(2^2\right)^{15}.\left(5^2\right)^9.\left(3^2\right)^{30}}\)
\(=\frac{5^{18}.3^{61}.2^{30}}{2^{30}.5^{18}.3^{60}}\)
\(=\frac{3^{61}}{3^{60}}\)
\(=3\)
1,
\(\frac{25}{12}+\left(\frac{-4}{12}\right)=\frac{7}{4}\)
\(\frac{-10}{8}+\frac{15}{4}=\frac{5}{2}\)
\(\frac{3}{8}+\frac{-14}{6}=\frac{-47}{24}\)
\(\frac{350}{150}+\left(\frac{-200}{360}\right)=\frac{16}{9}\)
\([\frac{5}{8}+\left(\frac{-3}{4}\right)]+\frac{15}{6}=\frac{-1}{8}+\frac{15}{6}=\frac{19}{8}\)
\(\frac{7}{3}+[\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)]=\frac{7}{3}+\left(\frac{-3}{2}\right)=\frac{5}{6}\)
a,(0,8)5:(0,4)6 = (\(\dfrac{0,8}{0,4}\))5 : 0,4 = 25:0,4 = 80
b, (-25)7: 323 - \(\dfrac{6103515625}{3276}\) = - 186264,5149
c, \(\dfrac{4^2.4^3}{2^{10}}\) = \(\dfrac{4^5}{2^{10}}\) = \(\dfrac{2^{10}}{2^{10}}\) = 1
d, \(\dfrac{9^5.5^7}{45^7}\) = \(\dfrac{9^5.5^7}{9^7.5^7}\) = \(\dfrac{1}{81}\)
\(\dfrac{\left(0.8\right)^5}{\left(0.4\right)^4}\)=\(\dfrac{\left(2.0,4\right)^5}{\left(0.4^4\right)}\)=\(\dfrac{2^5.\left(0.4\right)^5}{\left(0,4\right)^4}\)=\(2^5\).\(\left(0.4\right)^1\)=12,8
b)câu b không biết có sai đề không nhưng đáp án câu b là -186264,5149
c) \(\dfrac{4^2.4^3}{2^{10}}\)=\(\dfrac{4^5}{\left(2^2\right)^5}\)=\(\dfrac{4^5}{4^5}\)=1
d)\(\dfrac{9^5.5^7}{45^7}\)=\(\dfrac{9^5.5^5.5^2}{45^7}\)=\(\dfrac{45^5.5^2}{45^7}\)=\(\dfrac{5^2}{45^2}\)=\(\left(\dfrac{5}{45}\right)^2\)=\(\left(\dfrac{1}{9}\right)^2\)=\(\dfrac{1}{81}\)
`B=-3-2/3+3/5(-10/9-25/3)-5/6`
`=-3-2/3-5/6+3/5(-10/9-50/9)`
`=-3-4/6-5/6+3/5*(-60)/9`
`=-3-9/6-4`
`=-7-3/2=-17/2`
Lời giải:
\(B=-3-\frac{2}{3}+\frac{3}{5}(\frac{-10}{9}-\frac{25}{3})-\frac{5}{6}\)
\(=-3-(\frac{2}{3}+\frac{5}{6})+\frac{3}{5}.(\frac{-10}{9}-\frac{75}{9})\)
\(=-3-\frac{4+5}{6}+\frac{3}{5}.\frac{-85}{9}=-3-\frac{9}{6}-\frac{17}{3}=-(3+\frac{9}{6}+\frac{34}{6})=\frac{-61}{6}\)
a) 4 . 7^10 - 10.7^10 / 7^0
=7^10 . (4-10) / 7^10
=-6/1=-6
b)5^60.30^5 / 15^5.5^61
= 5^60 . (2 . 3. 5)^5 / (3.5)^5 . 5^61
=5^60 . 2^5 . 3^5 . 5^5 / 3^5.5^5 . 5^61
=5^65 . 2^5 . 3^5 / 3^5 . 5^5 . 5^66
=32/5
c)4^32 . 5^25 / 25^10 . 16^8
=(2^2)^32 . 5^25 / (5^2)^10 . (2^4)^8
=2^64 . 5^25 / 5^20 . 2^32
=2^32 . 5^5
d)12.3^10 + 3^11 / 3^10
=2^2 . 3 . 3^10 + 3^11 / 3^10
=2^2 . 3^11 + 3^11 / 3^10
=3^11(4+1)/3^10
=3.5=15