Bài 1: Tính giá trị biểu thức:
a, \(\frac{5^5.20^3-5^4.20^3+5^7.4^5}{\left(20+5\right)^3.4^5}\)
b, \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
c, \(\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)
Những câu hỏi liên quan
Bài 1: Tính giá trị biểu thức:
a, \(\frac{5^5.20^3-5^4.20^3+5^7.4^5}{\left(20+5\right)^3.4^5}\)
b, \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
c, \(\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)
Bài 1: Tính giá trị các biểu thức saua, left[2^{-3}-left(frac{3}{4}right)^{-4}.left(-frac{1}{2}right)^2right]:left[5-3.left(frac{4}{15}right)^0right]^{-2}b, frac{5^5.20^3-5^4.20^3+5^7.4^5}{left(20+5right)^3.4^5}c, frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}d, frac{5.left(3.7^{15}-19.7^{14}right)}{7^{16}+3.7^{15}}
Đọc tiếp
Bài 1: Tính giá trị các biểu thức sau
a, \(\left[2^{-3}-\left(\frac{3}{4}\right)^{-4}.\left(-\frac{1}{2}\right)^2\right]:\left[5-3.\left(\frac{4}{15}\right)^0\right]^{-2}\)
b, \(\frac{5^5.20^3-5^4.20^3+5^7.4^5}{\left(20+5\right)^3.4^5}\)
c, \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
d, \(\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)
Bài 1: Tính giá trị các biểu thức sau
a,left[2^{-3}-left(frac{3}{4}right)^{-4}.left(-frac{1}{2}right)^2right]:left[5-3left(frac{4}{15}right)^0right]^{-2}
b, frac{2^3+3.2^6-4^3}{2^3+3^2}
c, frac{5^5.20^3-5^4.20^3+5^7.4^5}{left(20+5right)^3.4^5}
d, frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}
e, frac{5.left(3.7^{15}-19.7^{14}right)}{7^{16}+3.7^{15}}
f, frac{3^3.left(0,5right)^5}{left(1,5right)^4}
Mk cần gấp
Đọc tiếp
Bài 1: Tính giá trị các biểu thức sau
a,\(\left[2^{-3}-\left(\frac{3}{4}\right)^{-4}.\left(-\frac{1}{2}\right)^2\right]:\left[5-3\left(\frac{4}{15}\right)^0\right]^{-2}\)
b, \(\frac{2^3+3.2^6-4^3}{2^3+3^2}\)
c, \(\frac{5^5.20^3-5^4.20^3+5^7.4^5}{\left(20+5\right)^3.4^5}\)
d, \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
e, \(\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)
f, \(\frac{3^3.\left(0,5\right)^5}{\left(1,5\right)^4}\)
Mk cần gấp
f) \(\frac{3^3.\left(0,5\right)^5}{\left(1,5\right)^4}=\frac{3^3.\left(0,5\right)^5}{\left[3.\left(0,5\right)\right]^4}=\frac{3^3.\left(0,5\right)^5}{3^4.\left(0,5\right)^4}=\frac{0,5}{3}=\frac{1}{6}\)
b) \(\frac{2^3+3.2^6-4^3}{2^3+3^2}=\frac{2^3.\left(1+3.2^3-2^3\right)}{2^3+3^2}=\frac{2^3.17}{17}=2^3=8\)
Các phần còn lại tương tự, bạn tự làm nhé !
(*) Lưu ý ở những bài rút gọn có chứa lũy thừa thì bạn đưa số đó về số nguyên tố rồi thực hiện như bình thường .
VD : \(4^3=\left(2^2\right)^3=2^6\) ( đưa về số nguyên tố là 2 )
\(6^3=\left(2.3\right)^3=2^3.3^3\) ( đưa về tích hai số nguyên tố )
Đúng 0
Bình luận (0)
Tình hợp lý;:
a) \(\frac{6^3+3.6^2+3^3}{-13}\)
b) \(\frac{2^3+3.2^6-4^3}{2^3+3^2}\)
c) \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
d) \(\frac{5^5.20^3-5^4.20^3+5^7.4^5}{\left(20+5\right)^3.4^5}\)
plzz Helpppp:<<<
a)\(\frac{6^3+3\cdot6^2+3^3}{-13}=\frac{3^3\cdot2^3+3^3\cdot2^2+3^3}{-13}=\frac{3^3\left(2^3+2^2+1\right)}{-13}=-3^3=-27\)
b) \(\frac{2^3+3\cdot2^6-4^3}{2^3+3^2}=\frac{8+3\cdot64-64}{8+9}=\frac{8+192-64}{17}=\frac{136}{17}=8\)
c) \(\frac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}=\frac{2^{12}\cdot3^{10}+2^9\cdot3^9\cdot2^3\cdot3\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}=\frac{2^{11}\cdot3^{10}\left(2+2\cdot5\right)}{2^{11}\cdot3^{10}\cdot\left(2\cdot3^2-3\right)}=\frac{12}{18-3}=\frac{12}{15}\)
d) \(\frac{5^5\cdot20^3-5^4\cdot20^3+5^7\cdot4^5}{\left(20+5\right)^3\cdot4^5}=\frac{5^5\cdot20^3-5^4\cdot20^3+20^3\cdot20^2\cdot5^2}{5^6\cdot4^5}=\frac{20^3\left(5^5-5^4+5^4\cdot4^2\right)}{20^5\cdot5}\)\(=\frac{5^4\left(5-1+16\right)}{20^2\cdot5}=\frac{5^4\cdot20}{20^2\cdot5}=\frac{5^3}{20}=\frac{5^3}{5\cdot4}=\frac{25}{4}\)
Bài giải
a)\(\frac{6^3+3\cdot6^2+3^3}{-13}=\frac{3^3\cdot2^3+3^3\cdot2^2+3^3}{-13}=\frac{3^3\left(2^3+2^2+1\right)}{-13}=-3^3=-27\)
b) \(\frac{2^3+3\cdot2^6-4^3}{2^3+3^2}=\frac{8+3\cdot64-64}{8+9}=\frac{8+192-64}{17}=\frac{136}{17}=8\)
c) \(\frac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}=\frac{2^{12}\cdot3^{10}+2^9\cdot3^9\cdot2^3\cdot3\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}=\frac{2^{11}\cdot3^{10}\left(2+2\cdot5\right)}{2^{11}\cdot3^{10}\cdot\left(2\cdot3^2-3\right)}=\frac{12}{18-3}=\frac{12}{15}\)
d) \(\frac{5^5\cdot20^3-5^4\cdot20^3+5^7\cdot4^5}{\left(20+5\right)^3\cdot4^5}=\frac{5^5\cdot20^3-5^4\cdot20^3+20^3\cdot20^2\cdot5^2}{5^6\cdot4^5}=\frac{20^3\left(5^5-5^4+5^4\cdot4^2\right)}{20^5\cdot5}\)\(=\frac{5^4\left(5-1+16\right)}{20^2\cdot5}=\frac{5^4\cdot20}{20^2\cdot5}=\frac{5^3}{20}=\frac{5^3}{5\cdot4}=\frac{25}{4}\)
Tính giá trị biểu thức"
a) \(\frac{20^5.5^{10}}{100^5}\) b) \(\frac{\left(0,9\right)^5}{\left(0,3\right)^{^6}}\) c) \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
rút gona,frac{2.5^{22}-9.5^{21}}{25^{10}}b,frac{5left(3.7^{15}-19.7^{14}right)}{7^{16}+3.7^{15}}c,frac{left(left(-2right)^2right)^3.left(-4right)^2}{left(-2right)^3.left(-2right)^2} d,frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}e,2^3+3.left(frac{1}{8}right)^0-left(frac{1}{2^2}right).4+left[left(-2right)^2:frac{1}{2}right].8f,frac{left(frac{2}{5}right)^7.5^5+left(frac{9}{4}right)^3:left(frac{3}{16}right)^3}{2^7.5^2+512}
Đọc tiếp
rút gon
a,\(\frac{2.5^{22}-9.5^{21}}{25^{10}}\)
b,\(\frac{5\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)
c,\(\frac{\left(\left(-2\right)^2\right)^3.\left(-4\right)^2}{\left(-2\right)^3.\left(-2\right)^2}\)
d,\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
e,\(2^3+3.\left(\frac{1}{8}\right)^0-\left(\frac{1}{2^2}\right).4+\left[\left(-2\right)^2:\frac{1}{2}\right].8\)
f,\(\frac{\left(\frac{2}{5}\right)^7.5^5+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\)
Cũng khuya rồi , mình làm câu 1 thôi nhé !
\(\frac{2.5^{22}-9.5^{21}}{25^{10}}=\frac{2.5^{22}-9.5^{21}}{\left(5^2\right)^{10}}\)
\(\frac{5^{21}.\left(2.5-9\right)}{5^{20}}=5.\left(10-9\right)=5\)
Đúng 0
Bình luận (1)
Tính B=\(\frac{\left(\frac{2}{3}\right)^3.\left(\frac{-3}{4}\right)^2.\left(-1\right)^5}{\left(\frac{2}{5}\right)^2.\left(\frac{5}{12}\right)^2}-\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
giúp mình giải chi tiết nha các bạn mai mình phải nộp rồi
qwertyuiopasdfgggggghjkllzxcvbnmm,.//234567890-=`
Chịu khó đọc lại đi dễ mà
Tính giá trị của các biểu thúc sau:
a) \(\frac{20^5.5^{10}}{100^5}\) c)\(\frac{6^3+3.6^2+3^3}{-13}\)
b) \(\frac{\left(0,9\right)^5}{\left(0,3\right)^6}\) d) \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
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
Đúng 0
Bình luận (0)
Giá trị của biểu thức \(\frac{7.\left(4^6.9^5+6^9.120\right)}{-8^4.3^{12}-6^{11}}\)Bằng?