Đáp số:

a) x=45

b) x=31

c) x=2

d) x=94

\(\frac{5.2^{30}.6^2.3^{15}-2^3.8^9.3^{17}.21}{21.2^{29}.3^{16}.4-2^{29}.\left(3^4\right)^5}\)

\(=\frac{5.2^{30}.6^2.3^{15}-2^3.8^9.3^{15}.3^2.21}{21.2^{29}.3^{16}.4-2^{29}.\left(3^4\right)^5}\)

\(=\frac{3^{15}.\left(5.2^{30}.6^2-2^3.8^9.3^2.21\right)}{21.2^{29}.3^{16}.4-2^{29}.3^{20}}\)

Tiếp theo thì tự làm đc rồi chứ gì

Đề bài yêu cầu gì?

a: \(=\dfrac{2^{10}\cdot3^8-2^{10}\cdot3^9}{2^{10}\cdot3^8+2^{10}\cdot3^8\cdot5}=\dfrac{2^{10}\cdot3^8\left(1-3\right)}{2^{10}\cdot3^8\left(1+5\right)}=\dfrac{-2}{6}=\dfrac{-1}{3}\)

b: \(=\dfrac{5^{16}\cdot3^{21}}{5^{15}\cdot3^{22}}=\dfrac{5}{3}\)

(6^3.8^4):12^3

=> ( 216 . 4096 ) : 1728

=> 884736 : 1728 = 512

\(\left(6^3\times8^4\right)\div12^3\)

\(=\left(216\times4096\right)\div1728\)

\(=884736\div1728\)

\(=512\)

(6³×8⁴)÷12³

=(216×4096)÷1728

=884736÷1728

=512

=(216.4096):1728

=884736:1728

=521

Tính dưới dạng một lũy thừa nha bạn!

\(\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}=\dfrac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}=\dfrac{2^{10}.3^8\left(1-3\right)}{2^{10}.3^8\left(1-5\right)}=\dfrac{-2}{-4}=\dfrac{1}{2}\)

\(A=\dfrac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}\)

\(=\dfrac{2^{10}\cdot3^8-2^{10}\cdot3^9}{2^{10}\cdot3^8+3^8\cdot2^{10}\cdot5}\)

\(=\dfrac{2^{10}\cdot3^8\left(1-3\right)}{2^{10}\cdot3^8\cdot\left(1+5\right)}\)

\(=-\dfrac{2}{6}=-\dfrac{1}{3}\)

\(\frac{6^8.2^4-4^5.18^4}{27^3.8^4-3^9.2^{13}}\\ =\frac{2^8.3^8.2^4-2^{2.5}.3^{2.4}.2^4}{3^{3.3}.2^{3.4}-3^9.2^{13}}\\ =\frac{2^{12}.3^8-2^{14}.3^8}{3^9.2^{12}-3^9.2^{13}}\\ =\frac{2^{12}.3^8\left(1-2^2\right)}{3^9.2^{12}.\left(1-2\right)}\\ =\frac{3^8.\left(-3\right)}{3.\left(-1\right)}=3^8\)