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a,\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{3^{10}.\left(-5\right).\left(-5\right)^{20}}{\left(-5\right)^{20}.3^{10}.3^2}\)\(=\frac{-5}{3^2}\)
b,\(\frac{-11^5.13^7}{11^5.13^8}=\frac{-11^5.13^7}{\left(-11\right)^5.\left(-1\right)^5.13^7.13}\)\(=\frac{1}{-1^5.13}\)
\(\frac{3^{10}.\left(-5\right)^{21}}{\cdot\left(-5\right)^{20}.3^{12}}=\frac{\left(-5\right)}{3^2}=\frac{-5}{9}\)
\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=\frac{-1}{13}\)
\(\frac{-11\cdot13^7}{11^{15}\cdot13^8}=\frac{-1\cdot13}{11^{14}\cdot13^7}\)
-11^5.13^7/11^5.13^8
= - (11^5.13^7)/11^5.13^8
= - 1/13
\(\dfrac{-11^5\cdot13^7}{11^5\cdot13^8}=-\dfrac{11^5\cdot13^7}{11^5\cdot13^7\cdot13}\)
\(=\dfrac{-1}{13}\)
Bài 1:
a) \(\dfrac{-11^5.13^7}{11^5.13^8}\)=\(\dfrac{-11^5}{11^5.13}=\dfrac{-11^5}{-11^5.-13}=\dfrac{1}{-13}\)
=\(\frac{7.\left(2^2\right)^5.3^{10}.3+2^{10}.2^3.\left(3^2\right)^5}{2^{10}.3^{10}+2^{10}.3^{10}.2^2}\)
=\(\frac{7.2^{10}.3^{10}.3+2^{10}.2^3.3^{10}}{2^{10}.3^{10}+2^{10}.3^{10}.2^2}\)
=\(\frac{2^{10}.3^{10}\left(7.3+2^3\right)}{2^{10}.3^{10}\left(1+2^2\right)}\)
=\(\frac{7.3+2^3}{1+2^2}\)
\(\frac{7.4^5.3^{11}+2^{13}.9^5}{6^{10}+2^{12}.3^{10}}=\frac{7.\left(2^2\right)^5.3^{11}+2^{13}.\left(3^2\right)^5}{\left(2.3\right)^{10}+2^{12}.3^{10}}=\frac{7.2^{10}.3^{11}+2^{13}.3^{10}}{2^{10}.3^{10}+2^{12}.3^{10}}\)
Tự làm tiếp...
5 . 213 . 411 - 169 / ( 3 . 217)2
=5 . 213 . 222 - 236 / 32.234
=5 . 235 - 236 / 32.234
= 235. (5 - 2) / 32.234
= 235. 3 / 32.234
= 2/3
\(\dfrac{-11^5.13^7}{11^5.13^8}=\dfrac{-1.11^5.13^7}{11^5.13^8}=-\dfrac{1}{13}\)
\(\dfrac{-11^5\cdot13^8}{11^5\cdot13^7}\)
\(=\dfrac{-11^5\cdot13^7\cdot13}{11^5\cdot13^7}\)
\(=\dfrac{-11^5\cdot13}{11^5}\)
\(=\dfrac{11^5\cdot\left(-13\right)}{11^5}\)
\(=-13\)