\(\frac{10^4.81-16.15^2}{\left(-8\right)^4.3^{12}+6^{11}}\)
tính a) \(\left[\frac{3}{7}.\frac{4}{15}+\frac{1}{3}.\left(9^{15}\right)\right]^0.\frac{1}{3}.\frac{6^8}{12^4}\)
b)\(\frac{10^4.81-16.15^2}{4^4.675}\)
a)\(\left[\frac{3}{7}\cdot\frac{4}{15}+\frac{1}{3}\cdot\left(9^{15}\right)\right]^0\cdot\frac{1}{3}\cdot\frac{6^8}{12^4}\)
\(=1\cdot\frac{1}{3}\cdot\frac{6^4\cdot6^4}{12^4}=\frac{1}{3}\cdot\frac{36^4}{12^4}=\frac{1}{3}\cdot81=27\)
10^4.81-16.15^2 / (-8)^4 . 3^12 + 6^11
(10 mủ 4 nhân 81 trừ 16 nhân 15 mủ 2 phần âm 8 mủ 4 nhân 3 mủ 12 cộng 6 mủ 11)
nhanh mk tk
a) \(\frac{10^4.81-16.15^2}{\left(-8\right)^4.3^{12}+6^{11}}=\frac{10^4.3^4-4^2.15^2}{8^4.3^{12}+6^{11}}=\frac{30^4-60^2}{2^{12}.3^{12}+6^{11}}=\frac{\left(30^2\right)^2-60^2}{6^{12}+6^{11}}\)
\(=\frac{900^2-60^2}{6^{11}.\left(6+1\right)}=\frac{60^2.\left(15^2-1\right)}{6^{11}.7}=\frac{60^2.224}{6^{11}.7}=\frac{2^9.3^2.5^2.7}{2^{11}.3^{11}.7}=\frac{5^2}{2^2.3^9}=\frac{25}{78732}\)
Tính
a, A = \(\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
b, B = \(\left(\dfrac{3}{7}.\dfrac{4}{15}+\dfrac{1}{3}.9^{15}\right).\dfrac{1}{3}.\dfrac{6^8}{12^4}\)
c, C = \(\dfrac{10^4.81-16.15^2}{4^4.675}\)
a: \(A=\dfrac{2^{12}\cdot3^{10}+2^3\cdot2^9\cdot3^9\cdot3\cdot5}{2^{12}\cdot3^{12}+2^{11}\cdot3^{11}}\)
\(=\dfrac{2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5}{2^{11}\cdot3^{11}\cdot7}\)
\(=\dfrac{2^{12}\cdot3^{10}\cdot6}{2^{11}\cdot3^{11}\cdot7}=\dfrac{2}{3}\cdot\dfrac{6}{7}=\dfrac{12}{21}=\dfrac{4}{7}\)
b: \(B=\left(\dfrac{12}{105}+\dfrac{9^{15}}{3}\right)\cdot\dfrac{1}{3}\cdot\dfrac{6^8}{6^4\cdot2^4}\)
\(=\dfrac{12+35\cdot9^{15}}{105}\cdot\dfrac{1}{3}\cdot3^4\)
\(=\dfrac{12+35\cdot9^{15}}{105}\cdot3^3=\dfrac{9\left(12+35\cdot9^{15}\right)}{35}\)
Rút gọn các phân số sau
a)\(\frac{10^4.81-16.15^2}{4^4.675}\)
b)\(\frac{\left(-15\right).2^3+10.7}{5.6+2^2.5.3}\)
\(\frac{2^4.\left(-5\right).7}{\left(-2\right)^3.5.\left(-7\right)^2.11}\)
\(\frac{20^5.5^{10}}{100^5}.\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(\left(\frac{4}{9}+\frac{1}{3}\right)^2+\left(\frac{3}{4}\right)^3:\left(\frac{3}{4}\right)^2:\left(\frac{-2}{3}\right)^3\)
\(\frac{10^4.81-16.15^2}{4^4.675}\)
\(\frac{10^4.81-16.15^2}{4^4.675}\)
= \(\frac{2^4.5^4.3^4-2^4.3^2.5^2}{4^4.3^3.5^2}\)
= \(\frac{2^4.5^2.3^4-2^4.3^2.5^2}{2^8.3^3.5^2}\)= \(\frac{2^4.5^2.3^2\left(3^2-1\right)}{2^8.3^3.5^2}\)= \(\frac{8}{2^4.3}=\frac{1}{6}\)
mấy bài khó còn làm dc ko lẽ ko làm dc bài này hay quân kiến thức cũ vậy bn
\(\frac{10^4.81-16.15^2}{4^4.675}=\frac{2^4.5^4.3^4-2^4.3^2.5^2}{2^8.3^3.5^2}\)
\(=\frac{2^4.3^2.5^2.\left(5^2.3^2-1\right)}{2^8.3^3.5^2}\)
\(=\frac{25.9-1}{2^4.3}=\frac{225-1}{16.3}=\frac{224}{48}=\frac{14}{3}\)
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-=`
Bài 12 : Tính
a) \(\left(\frac{-10}{3}\right)^2.\frac{\left(-6\right)^4}{5}\)
b) \(\left(\frac{3}{4}\right)^3:\left(\frac{3}{4}\right)^2:\left(\frac{2}{3}\right)^2\)
c) \(\frac{4^6.9^5+6^6.120}{8^4.3^{12}-6^{11}}\)
Tính
\(\frac{2^{12}.3^5-4^6.3^6}{2^{12}.9^3+8^4.3^5}\)
\(\frac{49^6.5-7^{11}}{\left(-7\right)^{10}.5-2.49^5}\)
a. - \(\frac{-1}{2}\)
b. \(\frac{238}{3}\)
Kotori Minami bạn có thể giải chi tiết ra duoc ko