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a) \(\frac{72^3.54^2}{108^4}\)
\(=\frac{\left(2^3.3^2\right)^3.\left(2.3^2\right)^2}{\left(2^2.3^2\right)^4}\)
\(=\frac{2^9.3^6.2^2.6^6}{2^8.3^{12}}=2^3\)
\(=8\)
b) \(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
\(=\frac{3^{10}.\left(11+5\right)}{3^9.2^4}\)
\(=\frac{3^{10}.2^4}{3^9.2^4}\)
\(=3\)
. 72^3 * 54^2 / 108^4
= 72^3 * 54^2 / (2 * 54)^4
= 72^3 * 54^2 / 2^4 * 54^4
= 72^3 * 54^2 / 2^4 * 54^2 * 54^2
= 72^3 / 2^4 * 54^2
= 72^3 / (2^2)^2 * 54^2
= (9 * 8)^3 / 4^2 * (9 * 6)^2
= 9^3 * 8^3 / 4^2 * 9^2 * 6^2
= 9 * 9^2 * (4 * 2)^3 / 4^2 * 9^2 * 6^2
= 9 * 4^3 * 2^3 / 4^2 * 6^2
= 9 * 4 * 4^2 * 8 / 4^2 * 36
= 9 * 4 * 8 / 36
= 36 * 8 / 36
= 8
\(72^2\cdot54^2:108^4=1088391168:108^4=8\)
k mình
k lại
A = 723 . 542 : 1084
A = 29 . 36 . 22 . 36 : 28 . 312
A = 211 . 312 : 28 . 312
A = 23
A = 8
\(4^{18}.8^{15}=\left(2^2\right)^{18}.\left(2^3\right)^{15}\)
\(=2^{36}.2^{45}\)
\(=2^{81}\)
\(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}\)
\(=2^{30}.5^{30}\)
\(=\left(2.5\right)^{30}\)
\(=10^{30}\)
\(\frac{3.72^2.54^2}{108^4}=\frac{3.\left(3^2.2^3\right)^2.\left(3^3.2\right)^2}{\left(3^3.2^2\right)^4}\)
\(=\frac{3.3^4.2^6.3^6.2^2}{3^{12}.2^8}\)
\(=\frac{3^{11}.2^8}{3^{12}.2^8}\)
\(=\frac{1}{3}\)
\(\dfrac{72^3.54^3}{108^4}\) =\(\dfrac{2^9.3^6.2^3.3^9}{2^8.3^{12}}\)
=\(\dfrac{2^{12}.3^{15}}{2^8.3^{12}}=\dfrac{2^4.3^3}{1.1}\) =16.27
=432
CHÚC BẠN HỌC TỐT
\(\dfrac{72^3.54^3}{108^4}=\dfrac{2^3.36^3.54^3}{2^4.54^4}=\dfrac{36^3}{108}=\dfrac{3^3.12^3}{3^2.12}=3.12^2=3.144=432\)CHÚC BẠN HỌC TỐT............