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\(a,81^3\cdot\frac{1}{9^2}:3^3=\left(9^2\right)^3\cdot\frac{1}{9^2}:3^3=9^6\cdot\frac{1}{9^2}\cdot\frac{1}{3^3}=\frac{9^6}{9^2}\cdot\frac{1}{3^3}=9^4\cdot\frac{1}{3^3}=\left(3^2\right)^4\cdot\frac{1}{3^3}=\frac{3^8}{3^3}=3^5\)
\(b,625^4:25^2=\left(5^4\right)^4:\left(5^2\right)^2=5^{16}:5^4=5^{12}\)
Nữ hoàng cảm ơn nhưng vị thám tử tài ba có thể viết cách giải ra đc không ạ
\(25^2-24^2=49=7^2=\left(-7\right)^2\)
\(6^2-3^2=27=3^3\)
\(8^4.2^3=\left(2^3\right)^4.2^3=2^{12}.2^3=2^{15}\)
a) 252 - 242 = 625 - 576
= 49 = 72
b) 62 - 32 = 36 - 9
= 27 = 33
c) 84 . 23 = 4096 . 8
= 32768 = 216
a)\(4^3.2^4\div\left(4^2.\frac{1}{32}\right)\)
\(=\left(2^2\right)^3.2^4\div\left(2^2\right)^2\div32\).
\(=2^{\left(2.3\right)}.2^4\div2^{\left(2.2\right)}\div2^5\)
\(=2^6.2^4\div2^4\div2^5\)
\(=2^{6+4-4-5}=2^1\)
b)\(\left(\frac{1}{5}\right)^5=\frac{1}{5^5}=\left|5^5\right|=5^{-5}\)
\(\frac{1}{125}=\frac{1}{5^3}=\left|5^3\right|=5^{-3}\)
c)\(\frac{4}{25}=\frac{2^2}{5^2}=\left(\frac{2}{5}\right)^2=0,4^2\)
\(\frac{-8}{125}=\frac{-2^3}{5^3}=\left(\frac{-2}{5}\right)^2=-0,4^3=0,4^{-3}\)
\(\frac{16}{625}=\frac{2^4}{5^4}=\left(\frac{2}{5}\right)^4=0,4^4\)
82.324
= (23)2 . (25)4
= 26.220 = 26+20
= 226
b) 815:97
= (92)5:97
= 910:97 = 910-7
= 93
a) 82 . 324 = ( 23)2 . ( 25)4 = 26 . 220 = 226
b) 815 : 97 = ( 34)5 . ( 32)7 = 320 . 314 = 334
Chúc học tốt
Bạn ấy lm câu a rùi mik lm 3 câu còn lại nha
\(27^{16}:9^{10}\)
\(=3^{16}\cdot9^{16}:9^{10}\)
\(=9^8\cdot9^6=9^{14}\)
\(125^3:25^4\)
\(=5^3\cdot25^3:25^4\)
\(=5\cdot25\cdot25^3:25^4\)
\(=5\cdot25^4:25^4\)
\(=5\cdot1=5\)
\(24^4:3^4-32^{12}:16^{12}\)
\(=8^4\cdot3^4:3^4-2^{12}\cdot16^{12}:16^{12}\)
\(=8^4-2^{12}\)
\(=4096-4096\)
\(=0\)
Lời giải:
\(2^{27}.3^{18}=(2^3)^9.(3^2)^9=8^9.9^9=(8.9)^9=72^9\)
\(25^4.2^8=25^4.(2^2)^4=25^4.4^4=(25.4)^4=100^4\)
\((-9)^4.27^2=9^4.27^2=(3^2)^4.(3^3)^2=3^8.3^6=3^{8+6}=3^{14}\)
\(-5^4:25=-5^4:(5^2)=-5^{4-2}=-5^2\)
\(3^5=3.3.3.3.3\)
\(6^2=6.6\)
\(5^4=5.5.5.5\)
\(2^2=2.2\)
\(7^3=7.7.7\)
cho mik đi
a: \(2^5\cdot8^4=2^5\cdot2^{12}=2^{17}\)
b: \(25^6\cdot125^3=\left(5^2\right)^6\cdot\left(5^3\right)^3=5^{12}\cdot5^9=5^{21}\)
c: \(625^3:25^3=\left(625:25\right)^3=25^3\)