Rút gọn biểu thức
a) \(\frac{2^7.9^3}{6^5.8^2}\) b) \(\frac{6^3+3.6^2+3^3}{-13}\) c) \(\frac{5^4.20^4}{25^5.4^5}\)
3 tick nha mn
Bài 1) Rút gọn biểu thức
a) \(\frac{2^7.9^3}{6^5.8^2}\)
b) \(\frac{6^3+3.6^2+3^3}{-13}\)
c) \(\frac{5^4.20^4}{25^5.4^5}\)
d)(\(\frac{5^4-5^3}{125^4}\) )
a.
\(\frac{2^7\times9^3}{6^5\times8^2}=\frac{2^7\times\left(3^2\right)^3}{\left(2\times3\right)^5\times\left(2^3\right)^2}=\frac{2^7\times3^6}{2^5\times3^5\times2^6}=\frac{3}{2^4}=\frac{3}{16}\)
b.
\(\frac{6^3+3\times6^2+3^3}{-13}=\frac{\left(2\times3\right)^3+3\times\left(3\times2\right)^2+3^3}{-13}=\frac{2^3\times3^3+3\times3^2\times2^2+3^3}{-13}=\frac{8\times3^3+3^3\times4+3^3}{-13}\)\(=\frac{3^3\times\left(8+4+1\right)}{-13}=\frac{27\times13}{-13}=-27\)
c.
\(\frac{5^4\times20^4}{25^5\times4^5}=\frac{\left(5\times20\right)^4}{\left(25\times4\right)^5}=\frac{100^4}{100^5}=\frac{1}{100}\)
d.
\(\left(\frac{5^4-5^3}{125^4}\right)=\frac{5^3\times\left(5-1\right)}{\left(5^3\right)^4}=\frac{5^3\times4}{5^{12}}=\frac{4}{5^9}\)
a)\(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.\left(3^2\right)^3}{2^5.3^5.\left(2^3\right)^2}=\frac{2^7.3^6}{2^5.3^5.2^6}=\frac{3}{2^4}\)
b)\(\frac{6^3+3.6^2+3^3}{-13}=\frac{6.6^2+3.6^2+3^3}{-13}=\frac{6^2.\left(6+3\right)+3^3}{-13}=\frac{6^2.9+3^3}{-13}=\frac{6^2.3^2+3.3^2}{-13}=\frac{3^2.\left(6^2+3\right)}{-13}=\frac{3^2.39}{-13}=3^2.\left(-3\right)=-27\)
c)\(\frac{5^4.20^4}{25^5.4^5}=\frac{100^4}{100^5}=\frac{1}{100}\)
làm nhanh giùm mình nha mình đang cần gấp
Tính:
a) \(\frac{4^2.4^3}{2^{10}}\)
b) \(\frac{\left(0,6\right)^5}{\left(0,2\right)^5}\)
c) \(\frac{2^7.9^3}{6^5.8^2}\)
d) \(\frac{6^3+3.6^2+3^3}{-13}\)
e) \(\frac{5^4.20^4}{25^5.4^5}\)
HELP ME!
a.ta có :4^2.4^3/2^10=2^4.2^6/2^10=2^10/2^10=1
b. ta co :(0,6)^5/(0,2)^5=(0,6/0,2)^5=3^5=243
a) \(\frac{4^2.4^3}{2^{10}}=\frac{4^5}{2^{10}}=\frac{2^{10}}{2^{10}}=1\)
b) \(\frac{\left(0,6\right)^5}{\left(0,2\right)^5}=\left(\frac{0,6}{0,2}\right)^5=3^5=243\)
c) \(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.3^6}{2^5.3^5.2^6}=\frac{2^7.3^6}{2^{11}.3^5}=\frac{3}{2^4}=\frac{3}{16}\)
d) \(\frac{6^3+3.6^2+3^3}{-13}=\frac{2^3.3^3+3^3.2^2+3^3}{-13}=\frac{3^3\left(2^3+2^2+1\right)}{-13}=\frac{27.13}{-13}=-27\)
e) \(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.2^8.5^4}{5^{10}.2^{10}}=\frac{2^8.5^8}{5^{10}.2^{10}}=\frac{\left(2.5\right)^8}{\left(5.2\right)^{10}}=\frac{10^8}{10^{10}}=\frac{1}{10^2}=\frac{1}{100}\)
Tính:
a) \(\frac{4^2.4^3}{2^{10}}\)
b) \(\frac{\left(0,6\right)^5}{\left(0,2\right)^5}\)
c) \(\frac{2^7.9^3}{6^5.8^2}\)
d) \(\frac{6^3+3.6^2+3^3}{-13}\)
e) \(\frac{5^4.20^4}{25^5.4^5}\)
Tìm giá trị của các biểu thức sau. (Câu trả lời có lời giải):
\(a.\frac{\left(0,6\right)^5}{\left(0,2\right)^6}=\)
\(b.\frac{2^7.9^3}{6^5.8^2}=\)
\(c.\frac{6^3+3.6^2+3^3}{-13}\)
Tìm giá trị của các biểu thức sau :
a)\(\frac{4^2.4^3}{2^{10}}\); b)\(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}\)
c)\(\frac{2^7.9^3}{6^5.8^2}\); d)\(\frac{6^3+3.6^2+3^3}{-13}\)
a) \(\frac{4^2.4^3}{2^{10}}=\frac{\left(2^2\right)^2.\left(2^2\right)^3}{2^{10}}=\frac{2^4.2^6}{2^{10}}=\frac{2^{10}}{2^{10}}=1\)
b) \(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}=\frac{\left(0,2.3\right)^5}{\left(0,2\right)^6}=\frac{3^5.0,2^5}{0,2^6}=\frac{3^5}{0,2}=\frac{243}{0,2}=1215\)
c) \(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.\left(3^2\right)^3}{2^5.3^5.\left(2^3\right)^2}=\frac{2^7.3^6}{2^5.3^5.2^6}=\frac{2^7.3}{2^{11}}=\frac{3}{2^4}=\frac{3}{16}\)
d) \(\frac{6^3+3.6^2+3^3}{-13}=\frac{6^2\left(6+3\right)+3^3}{-13}=\frac{6^2.9+3^2}{-13}=\frac{3^2\left(6^2+1\right)}{-13}=\frac{9.37}{-13}=\frac{333}{-13}\)
Tìm giá trị của các biểu thức sau :
a) \(\frac{4^2.4^3}{2^{10}}\)
b) \(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}\)
c) \(\frac{2^7.9^3}{6^5.8^2}\)
d) \(\frac{6^3+3.6^2+3^3}{-13}\)
a,\(\frac{4^2.4^3}{2^{10}}=\frac{4^5}{2^{10}}=\frac{4^5}{4^5}=1\)
\(\frac{\left(0.6\right)^5}{\left(0.2\right)^6}=1215\)
còn lại làm đc mà
Tìm giá trị của các biểu thức sau :
a)\(\frac{4^2.4^3}{2^{10}}\)
b) \(\frac{(0,6)^5}{(0,2)^6}\)
c)\(\frac{2^7.9^3}{6^5.8^2}\)
d)\(\frac{6^3+3.6^2+3^3}{-13}\)
Giúp Min đi mà T_T
\(\frac{4^2.4^3}{2^{10}}=\frac{\left(2^2\right)^2.\left(2^2\right)^3}{2^{10}}=\frac{2^4.2^6}{2^{10}}=\frac{2^{10}}{2^{10}}=1\)
a, \(\frac{4^2.4^3}{2^{10}}=\frac{\left(2^2\right)^2.\left(2^2\right)^3}{2^{10}}=\frac{2^4.2^6}{2^{10}}=\frac{2^{4+6}}{2^{10}}=\frac{2^{10}}{2^{10}}=1\)
b,\(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}=\frac{\left(0,2.3\right)^5}{\left(0,2\right)^6}=\frac{\left(0,2\right)^5.3^5}{\left(0,2\right)^6}=\frac{3^5}{0,2}\)
c, \(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.\left(3^2\right)^3}{\left(2.3\right)^5.\left(2^3\right)^2}=\frac{2^7.3^6}{2^5.3^5.2^6}=\frac{2^7.3^6}{3^5.2^{11}}=\frac{3}{2^4}\)
d, \(\frac{6^3+3.6^2+3^3}{-13}=\frac{\left(2.3\right)^3+3\left(2.3\right)^2+3^3}{-13}=\frac{2^3.3^3+3.2^2.3^2+3^3}{-13}\)
\(=\frac{2^3.3^3+3^3.2^2+3^3}{-13}=\frac{3^9\left(2^3+2^2+1\right)}{-13}=\frac{3^3.13}{-13}=3^3=27\)
a) \(\frac{4^2.4^3}{2^{10}}=\frac{4^{2+3}}{2^{10}}=\frac{\left(2^2\right)^5}{2^{10}}=\frac{2^{10}}{2^{10}}=1\) b) \(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}=\frac{\left(3.0,2\right)^5}{\left(0,2\right)^6}=\frac{3^5.0,2^5}{\left(0,2\right)^6}=\frac{3^5}{0,2}=1215\)
c) \(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.\left(3^2\right)^3}{\left(2.3\right)^5.\left(2^3\right)^2}=\frac{2^7.3^6}{2^5.3^5.2^6}=\frac{3}{2^4}=\frac{3}{16}\) d)\(\frac{6^3+3.6^2+3^3}{-13}=\frac{\left(2.3\right)^3+3.\left(2.3\right)^2+3^3}{-13}=\frac{2^3.3^3+3.2^2.3^2+3^2}{-13}=\frac{3^3.\left(2^3+2^2+1\right)}{-13}=\frac{3^3.13}{-13}=-3^3\)
tìm giá trị của các biểu thức sau:
\(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}\)
\(\frac{2^7.9^3}{6^5.8^2}\)
\(\frac{6^3+3.6^2+3^3}{-13}\)
\(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}=\frac{\left(0,2\right)^5\cdot3^5}{\left(0,2\right)^6}=\frac{3^5}{0.2}=243:\frac{1}{5}=1215\)
\(\frac{2^7\cdot9^3}{6^5\cdot8^2}=\frac{2^7\cdot\left(3^2\right)^3}{2^5\cdot3^5\cdot\left(2^3\right)^2}=\frac{2^7\cdot3^6}{2^{11}\cdot3^5}=\frac{3}{2^4}=\frac{3}{16}\)
câu cuối ko bt
Xin lỗi vì đã ns dối, ko phải tớ ko bt giải mà là tại mama kêu ghê quá nên ko kịp viết lời giải câu cuối !
\(\frac{6^3+3\cdot6^2+3^3}{-13}=\frac{2^3\cdot3^3+3\cdot2^2\cdot3^2+3^3}{-13}=\frac{2^3\cdot3^3+3^3\cdot2^2+3^3}{-13}=\frac{3^3\left(2^3+2^2+1\right)}{-13}=\frac{27\cdot13}{-13}=-27\)
Ko sao nhưng học mà cũng bị kêu mama bn chắc dữ lắm
Tính giá trị của các biểu thức sau:
\(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}\)
\(\frac{2^7.9^3}{6^5.8^2}\)
\(\frac{6^3+3.6^2+3^3}{-13}\)