a) \(\dfrac{5^3.2.5.3^2.2^6}{5^4.3^2.2^{13}}=\dfrac{5^4.2^7.3^2}{5^4.3^2.2^{13}}=\dfrac{2^7}{2^{13}}=\dfrac{1}{64}\)
b) \(\dfrac{15^5.16^7}{12^5.20^5}=\dfrac{5^5.3^5.2^{28}}{2^{10}.3^5.2^{10}.5^5}=\dfrac{5^5.3^5.2^{28}}{2^{20}.3^5.5^5}=\dfrac{2^{28}}{2^{20}}=256\)
\(\dfrac{5^3.90.4^3}{25^2.3^2.2^{13}}=\dfrac{5^3.2.5.3^2.2^6}{5^4.3^2.2^{13}}=\dfrac{5^4.3^2.2^7}{5^4.3^2.2^{13}}=\dfrac{1}{2^6}=\dfrac{1}{64}\)
\(\dfrac{15^2.16^4.15^3.16^3}{12^2.20^3.20^2.12^3}=\dfrac{\left(3.5\right)^2.\left(2^4\right)^4.\left(3.5\right)^3.\left(2^4\right)^3}{\left(3.2^2\right)^2.\left(2^2.5\right)^3.\left(2^2.5\right)^2.\left(2^2.3\right)^3}=\dfrac{3^2.5^2.2^{16}.3^3.5^3.2^{12}}{3^2.2^4.2^6.5^3.2^4.5^2.2^6.3^3}=\dfrac{3^5.5^5.2^{28}}{3^5.5^5.2^{20}}=2^8=256\)
\(\dfrac{5^3\cdot90\cdot4^3}{25^2\cdot3^2\cdot2^{13}}=\dfrac{5^3\cdot2\cdot3^2\cdot5\cdot\left(2^2\right)^3}{\left(5^2\right)^2\cdot3^2\cdot2^{13}}=\dfrac{5^3\cdot2\cdot3^2\cdot5\cdot2^6}{5^4\cdot3^2\cdot2^{13}}=\dfrac{5^4\cdot3^2\cdot2^7}{5^4\cdot3^2\cdot2^{13}}=\dfrac{1}{2^6}=\dfrac{1}{64}\)
\(\dfrac{15^2\cdot16^4\cdot15^3\cdot16^3}{12^2\cdot20^3\cdot20^2\cdot12^3}=\dfrac{15^5\cdot16^7}{12^5\cdot20^5}=\dfrac{\left(3\cdot5\right)^5\cdot\left(4\cdot4\right)^7}{\left(3\cdot4\right)^5\cdot\left(4\cdot5\right)^5}=\dfrac{3^5\cdot5^5\cdot4^7\cdot4^7}{3^5\cdot4^5\cdot4^5\cdot5^5}=\dfrac{3^5\cdot5^5\cdot4^{14}}{3^5\cdot4^{10}\cdot5^5}=4^4=256\)
a ) \(\dfrac{5^3.90.4^3}{25^2.3^2.2^{13}}\) =\(\dfrac{5^3.2.5.3^2.2^6}{5^4.3^2.2^{13}}\) = \(\dfrac{5^4.3^2.2^7}{5^4.3^2.2^{13}}\)= \(\dfrac{1}{2^6}\) =\(\dfrac{1}{64}\)
tui chỉ bt làm phần a thui nha
