\(\dfrac{2^7.9^3}{6^3.8^2}\)
giúp mình với :((
1.Rut gọn
a)2^15.9^4/6^3.8^3
b)2^7.9^3/6^5/6^5.8^2
\(\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+...+\dfrac{2}{97.99}+\dfrac{2}{99.101}\)
giúp mình với ạ, giải từng bước nhé ạ
\(=2\cdot\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{97}-\dfrac{1}{99}+\dfrac{1}{99}-\dfrac{1}{101}\right)\)
\(=2\cdot\left(\dfrac{1}{3}-\dfrac{1}{101}\right)=2\cdot\dfrac{98}{303}=\dfrac{196}{303}\)
= 2/3 . 2/5 + 2/5 . 2/7 + ... + 2/99 . 2/101
= 2/3 - 2/5 + 2/5 - 2/7 + ... + 2/99 - 2/101
= 2/3 - 2/101
= 196/303
2/3 - 2/5 + 2/5 - 2/7 + 2/7 - 2/9 + .... + 2/97 - 2/99 + 2/99 - 2/101
= 2/3 - 2/101
= 196/303
mấy pn ơi giúp mình với nhoa !!!!!
2^15.9^4/6^3.8^3
giúp mình với nha: kí hiệu ^ là số mũ nhé
các bạn giúp mình với đi mà. rồi mình tick cho ng nhanh nhất
\(\frac{2^{15}\cdot9^4}{6^3.8^3}=\frac{2^{15}.3^8}{2^3.3^3.2^9}=\frac{2^{15}.3^8}{2^{12}.3^3}=2^3.3^5=8.243=1944\)
\(\dfrac{2^7.9^3}{6^5.8^2}\)
\(\dfrac{2^{^7}.9^3}{6^5.8^2}\)=\(\dfrac{3}{16}\)=0,1875
!chúc bạn học tốt!
\(\dfrac{2^7.9^3}{6^58^2}\)=?
\(\dfrac{2^7\cdot9^3}{6^5\cdot8^2}\)
\(=\dfrac{2^7\cdot\left(3^2\right)^3}{2^5\cdot3^5\cdot\left(2^3\right)^2}\)
\(=\dfrac{2^7\cdot3^6}{2^{11}\cdot3^5}\)
\(=\dfrac{1\cdot3}{2^4\cdot1}\)
\(=\dfrac{3}{16}\)
\(=\dfrac{2^7\cdot3^6}{2^5\cdot3^5\cdot2^6}=\dfrac{3}{2^4}=\dfrac{3}{16}\)
\(\dfrac{2^7\cdot9^3}{6^5\cdot8^2}=\dfrac{2^7\cdot\left(3^2\right)^3}{\left(2\cdot3\right)^5\cdot\left(2^3\right)^2}\\ =\dfrac{2^7\cdot3^6}{2^5\cdot3^5\cdot2^6}=\dfrac{2^7\cdot3}{2^{11}}\\ =\dfrac{3}{2^4}=\dfrac{3}{16}\)
a) \(\dfrac{2^7.9^3}{6^5.8^2}\)
b) \(\dfrac{\left(0,6\right)^5}{\left(0,2\right)^6}\)
a) \(\dfrac{2^7.9^3}{6^5.8^2}=\dfrac{2^7.\left(3^2\right)^3}{\left(2.3\right)^5.\left(2^3\right)^2}=\dfrac{2^7.3^6}{2^5.3^5.2^6}=\dfrac{3}{2^4}=\dfrac{3}{16}\)
a) \(\dfrac{2^7.9^3}{6^5.8^2}=\dfrac{2^7.\left(3^2\right)^3}{\left(2.3\right)^5.\left(2^3\right)^2}=\dfrac{2^7.3^6}{2^5.3^5.2^6}=\dfrac{2^7.3^6}{2^{11}.3^5}=\dfrac{3}{2^4}=\dfrac{3}{16}\)
b) \(\dfrac{\left(0,6\right)^5}{\left(0,2\right)^6}=\dfrac{\left(0,2.3\right)^5}{\left(0,2\right)^6}=\dfrac{\left(0,2\right)^5.3^5}{\left(0,2\right)^6}=\dfrac{3^5}{0,2}=1215\)
a)chứng minh rằng :\(\dfrac{1}{3^2}\)+\(\dfrac{1}{4^2}\)+\(\dfrac{1}{5^2}\)+\(\dfrac{1}{6^2}\)........+\(\dfrac{1}{100^2}< \dfrac{1}{2}\)
b)tính nhanh tổng S với S= \(\dfrac{1}{3.5}+\dfrac{1}{5.7}+\dfrac{1}{7.9}+......+\dfrac{1}{61.63}\)
các cao nhân gải giúp với ạ !!! iem đang cần gấp
Thực hiện phép tính:
\(\dfrac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.7^3.8}\)
Giúp nhé
Tính:\(\frac{6^8.4^2-4^4.18^4}{27^3.8^4-3^0.2^{10}.8}\)
Các bạn giúp mình nha, nhanh mình tích cho!
=0 nha !
nhớ tích cho mìn nhe!
= 0 nha
k cho mik nhé
\(\dfrac{10}{2}+\dfrac{1}{4}-\dfrac{3}{6}\)
giúp mình với
\(\dfrac{10}{2}+\dfrac{1}{4}-\dfrac{3}{6}=5+\dfrac{1}{4}-\dfrac{1}{2}=\dfrac{20}{4}+\dfrac{1}{4}-\dfrac{2}{4}=\dfrac{19}{4}\)