\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)

\(b,\)Tương tự

1)1/9 x 3^x = 2187:81=27

            3^x=27:1/9=243=3⁵

            =>x=5

\(\frac{1}{9}.3^4.3^x=3^7\)

\(\Leftrightarrow3^x=3^7:\frac{1}{9}:3^4=243\)

\(\Leftrightarrow3^x=3^5\)

\(\Leftrightarrow x=5\)

\(\dfrac{2^7.9^3}{3^5.8^2}\)

\(=\dfrac{2^7.\left(3^2\right)^3}{3^5.\left(2^3\right)^2}\)

\(=\dfrac{2^7.3^6}{3^5.2^6}\)

\(=\dfrac{2.3}{1}=\dfrac{6}{1}=6\)

a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)

 1/2 x 2 mũ n cộng 4 x 2 mũ n = 9 x 2 mũ n

\(\dfrac{9^{14}\cdot25^5\cdot8^7}{18^2\cdot625^3\cdot24^3}\)

\(=\dfrac{3^{42}\cdot5^{10}\cdot2^{21}}{2^2\cdot3^4\cdot5^{12}\cdot2^9\cdot3^3}=\dfrac{3^{42}\cdot5^{10}\cdot2^{21}}{2^{11}\cdot3^7\cdot5^{12}}\)

\(=\dfrac{3^{35}}{5^2}\cdot2^{10}\)

đáp án chính xác

\(2^8\cdot3+2^8\cdot7+2^8\cdot6\)

\(=2^8\cdot\left(3+7+6\right)\)

\(=2^8\cdot16\)

\(=2^8\cdot2^4\)

\(=2^{12}\)

\(2^8\times3+2^8\times7+2^8\times6=2^{12}\)12

Bạn ghi ra kết quả rồi mà.

câu 1 : điền dấu > , < , = thích hợp

\(a,0>\left(-25\right).\left(-19\right).\left(-1\right)^{2n}\)

\(b,\left(-3\right)^4.\left(-19\right)^2=3^4.19^2.\left(-1\right)^{100}\)

\(c,\left(-2006\right).9\left(-2007\right)>\left(-2008\right).2009\)

câu 2 : sắp xếp các số theo thứ tự tăng dần

- 37 ; 25 ; 0 ; dấu giá trị tuyệt đối nha / -18 / ;  _ (-19 ) ; _ / - 39 / ; _ ( + 151 )

Có : \(-37;25;0;18;19;-39;-151\)

Thứ tự tăng dần : \(-151;-39;-37;25;19;18;0\)

câu 3 tính

\(\text{a ) -8 + 19}=11\)

\(\text{b ) ( -27 ) : ( -3 )}=9\)

c )\(4-\left(-13\right)=17\)

d )\(\text{ - 9 -13 -( -24 ) + 11=13}\)

\(e,323-6\left[3-7.\left(-9\right)\right]=-73\)

\(f,\left(-3\right)^5.\left(-3\right)^3-9\)\(=6552\)

\(g,9-8.16-13.8\)

\(=9-8.\left(16-13\right)\)

\(=9-8.4\)

\(=9-32\)

\(=-23\)

\(h,\left(-3\right)^2+\left\{-54:\left[\left(-2\right)^3+7.|-2|\right].\left(-2\right)^2\right\}\)

\(=9+\left\{-54:\left[\left(-8\right)+7.2\right].4\right\}\)

\(=9+\left\{-54:\left[\left(-8\right)+14\right].4\right\}\)

\(=9+\left\{-54:6.4\right\}\)

\(=9+\left\{-7.4\right\}\)

\(=9+\left(-28\right)\)

\(=-19\)

học tốt

ai nhNH MK K

\(\dfrac{2^7\cdot9^3}{6^5\cdot8^2}\\ =\dfrac{2^7\cdot\left(3^2\right)^3}{\left(2\cdot3\right)^5\cdot\left(2^3\right)^2}\\ =\dfrac{2^7\cdot3^6}{2^5\cdot3^5\cdot2^6}\\ =\dfrac{2^2\cdot3}{2^6}\\ =\dfrac{4\cdot3}{64}\\ =\dfrac{12}{64}\\ =\dfrac{3}{16}\)