\(8\times8\)
\(9\times9\times9\times9\times9\times9\times9=\)
Viết dưới dạng lũy thừa
\(99+43\times9\times9\times9=\)
đây bài giai nè chưa chăc dung đâu
99+43*9*9*9=
=99+43*9*9*9*1
=9*(99+43+1)
tiếp đó tự làm
99 + 43 * 9 * 9 * 9 = 31446
A=\(\dfrac{2^{13}\times9^5}{6^8\times8^3}\)
\(A=\dfrac{2^{13}.9^5}{6^8.8^3}=\dfrac{2^{13}.3^{10}}{3^8.2^8.2^9}=\dfrac{2^{13}.3^{10}}{3^8.2^{17}}=\dfrac{3^2}{2^4}=\dfrac{9}{16}\)
tính :\(\frac{1}{1\times2\times3}+\frac{1}{2\times3\times4}+\frac{1}{3\times4\times5}+\frac{1}{4\times5\times6}+\frac{1}{5\times6\times7}+\frac{1}{6\times7\times8}+\frac{1}{7\times8\times9}+\frac{1}{8\times9\times10}\)
\(\frac{1}{1.2.3}+\frac{1}{2.3.4}+...+\frac{1}{8.9.10}=\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{2.3}\right)+\frac{1}{2}.\left(\frac{1}{2.3}-\frac{1}{3.4}\right)+...+\frac{1}{2}.\left(\frac{1}{8.9}-\frac{1}{9.10}\right)\)
\(=\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+...+\frac{1}{8.9}-\frac{1}{9.10}\right)\)
\(\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{9.10}\right)=\frac{1}{2}.\frac{22}{45}=\frac{11}{45}\)
Lũy thừa của 1 số hữa tỉ:
\(\dfrac{2^{15}\times9^4}{6^6\times8^3}\)
GIÚP MIK VỚI MAI KT RỒI NHA:((( LÀM MƠN ĐÓ:)))))
\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15}.\left(3^2\right)^4}{2^6.3^6.\left(2^3\right)^3}=\dfrac{2^{15}.3^8}{2^6.3^6.2^9}=\dfrac{2^{15}.3^8}{2^{15}.3^6}=\dfrac{1.3^2}{1.1}=3^2=9\)
Chúc Bạn Học Tốt!!!
- Ta có:
\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15}.\left(3^2\right)^4}{2^6.3^6.\left(2^3\right)^3}=\dfrac{2^{15}.3^8}{2^6.3^6.2^9}=\dfrac{2^{15}.3^8}{2^{15}.3^6}=3^2\)
- Vậy \(\dfrac{2^{15}.9^4}{6^6.8^3}=3^2\)
Ta có :\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\dfrac{2^{15}.3^8}{2^6.3^6.2^9}=\dfrac{2^{15}.3^8}{2^{15}.3^6}=3^2\)\(=9\)
Tính.
a) \(\dfrac{5\times6\times12}{6\times12\times7}\) b) \(\dfrac{9\times8\times15}{15\times9\times16}\)
a) \(\dfrac{5\times6\times12}{6\times12\times7}=\dfrac{5}{7}\)
b) \(\dfrac{9\times8\times15}{15\times9\times16}=\dfrac{1}{2}\)
TÍNH :\(12345679\times9\times9=?\)
\(=999999999\)
= 999999999
kết quả bằng =9999999909
Tính \(12345679\times9\times9=?\)
999999999
12 345 679 x 9 x 9
=111 111 111 x 9
=999 999 999
k for morre
#hungB
\(C=\dfrac{5\times4^6\times9^4-3^9\times\left(-8\right)^4}{4\times2^{13}\times3^8+2\times8^4\times\left(-27\right)^3}\)
\(C=\dfrac{5\times2^{12}\times3^8-3^9\times2^{12}}{2^2\times2^{13}\times3^8+2\times2^{12}\times\left(-3^9\right)}=\dfrac{3^8\times2^{12}\times\left(5-3\right)}{2^{15}\times3^8+2^{13}\times\left(-3\right)^9}\)
\(=\dfrac{3^8\times2^{12}\times2}{2^{13}\times3^8\times\left(4-3\right)}=\dfrac{1}{1}=1\)
\(#PaooNqoccc\)
\(E=\dfrac{5\times4^{15}\times9^9-4\times3^{20}\times8^9}{5\times2^{10}\times6^{19}-7\times2^{29}\times27^6}\)
\(\dfrac{5\times4^{15}\times9^9-4\times3^{20}\times8^9}{5\times2^{10}\times6^{19}-7\times2^{29}\times27^6}\\ =\dfrac{5\times2^{30}\times3^{18}-2^2\times3^{20}\times2^{27}}{5\times2^{10}\times3^{19}\times2^{19}-7\times2^{29}\times3^{18}}\\ =\dfrac{5\times2^{30}\times3^{18}-2^{29}\times3^{20}}{5\times2^{29}\times3^{19}-7\times2^{29}\times3^{18}}\\ =\dfrac{2^{29}\times3^{18}\times\left(5\times2-3^2\right)}{2^{29}\times3^{18}\times\left(5\times3-7\right)}\\ =\dfrac{10-9}{15-7}\\ =\dfrac{1}{8}\)