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\(A=8^4.16^5.32=\left(2^3\right)^4.\left(2^4\right)^5.2^5\)\(=2^{12}.2^{20}.2^5=2^{12+20+5}=2^{37}\)
Vậy \(A=2^{37}\)
\(B=27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{12+40}=3^{52}\)
Vậy \(B=3^{52}\)
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1 phút trước (17:06)
Viết các tích sau dưới dạng lũy thừa:
a. \(8^4.16^5.32=2^{12}.2^{20}.2^5=2^{37}\)
b.\(27^4.81^{10}=3^{12}.3^{40}=3^{52}\)
a) 84 . 165 . 32
= (23)4 . (24)5 . 25
= 212 . 220 . 25
= 237
b) 274 . 8110
= (33)4 . (34)10
= 312 . 340
= 352
![](https://rs.olm.vn/images/avt/0.png?1311)
B = 643.43.16 = (43)3.43.42 = 49.43.42 = 414
C = 812:(32.27) = (34)2:(32.33) = 38:32.33 = 39
D = ( 811.317 ) : ( 2710.915 ) = (34)11.317 : (33)10.(32)15 = 344.317:330.330 = 361
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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)\(\frac{4}{25}=\frac{2^2}{5^2}=\left(\frac{2}{5}\right)^2=0,4^2\)
\(\frac{-8}{125}=\frac{-2^3}{5^3}=\left(\frac{-2}{5}\right)^2=-0,4^3=0,4^{-3}\)
\(\frac{16}{625}=\frac{2^4}{5^4}=\left(\frac{2}{5}\right)^4=0,4^4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(3^4.5^4=\left(3.5\right)^4=15^4\)
b, \(8^3.32^4=\left(2^3\right)^3.\left(2^5\right)^4=2^9.2^{20}=2^{29}\)
c, \(49^2.7^5=\left(7^2\right)^2.7^5=7^4.7^5=7^9\)
d, \(2^3.4^3.16^4=2^3.\left(2^2\right)^3.\left(2^4\right)^4=2^3.2^6.2^{16}=2^{25}\)
Chúc bạn học tốt!!!
a) \(3^4.5^4=\left(3.5\right)^4=15^4\)
b) \(8^3.32^4=\left(2^3\right)^3.\left(2^5\right)^4=2^9.2^{20}=2^{29}\)
c) \(49^2.7^5=\left(7^2\right)^2.7^5=7^4.7^5=7^9\)
d) \(2^3.4^3.16^4=2^3.\left(2^2\right)^3.\left(2^4\right)^4=2^3.2^6.2^{16}=2^{25}\)
Chúc học tốt!!!
![](https://rs.olm.vn/images/avt/0.png?1311)
(32)25.(33)4.(34)3=350.312.312=374
(52)50.(53)5=5115
(416)3.48.(42)4=
a 350 x312 x 312 = 374
b 5100 x 515 =5115
c 49 x 48 x 48 = 425
Trả lời :
163 : 84
= (24)3 : (23)4
= 212 : 212
= 1
\(16^3:8^4\)
\(=\left(2^4\right)^3:\left(2^3\right)^4\)
\(=2^{12}:2^{12}\)
\(=1\)