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a) \(\left(\frac{1}{16}\right)^{25}\div\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2^4}\right)^{25}\div\left(\frac{1}{2}\right)^{30}=\left[\left(\frac{1}{2}\right)^4\right]^{25}\div\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2}\right)^{4.25}\div\left(\frac{1}{2}\right)^{30}\)
\(=\left(\frac{1}{2}\right)^{100}\div\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2}\right)^{100-30}=\left(\frac{1}{2}\right)^{70}\)
b) \(584^{100}\div292^{100}=\left(584-292\right)^{100}=292^{100}\)
c) \(125^4\cdot16^3=\left(5^3\right)^4\cdot\left(2^4\right)^3=5^{3\cdot4}\cdot2^{4\cdot3}=5^{12}\cdot2^{12}=\left(5+2\right)^{12}=7^{12}\)
Trả lời:
a, \(15^8.9^4\)
\(=15^8.\left(3^2\right)^4\)
\(=15^8.3^8\)
\(=45^8\)
b, \(27^2:25^3\)
\(=\left(3^3\right)^2:\left(5^2\right)^3\)
\(=3^6:5^6\)
\(=\left(\frac{3}{5}\right)^6\)
Hok Tốt!!!!
a. 158 . 94
= 158 . (32)4
= 158.38
= (15.3)8
= 458
b. 272 : 253
= (33)2 : (52)3
= 36 : 56
= \(\left(\frac{3}{5}\right)^6\)
1/81 = (1/9)^2
243 = 3^5
8. 3^3 = 2^3 . 3^3 = 6^3
81.2^8 = 9^2 . (2^4)^2 = 9^2 . 16^2 = ( 9. 16)^2 = 144^2
254 . 28 = (52)4 . 28 = 52.4 . 28 = 58 . 28 = (5 . 2)8 = 108
\(-\dfrac{8}{27}=\left(-\dfrac{2}{3}\right)^3\)
\(\dfrac{81}{625}=\left(\dfrac{3}{5}\right)^4\)
\(\dfrac{25}{49}=\left(\dfrac{5}{7}\right)^2\)
Cách viết:
81/625 = 3.3.3.3/5.5.5.5 = 3^4/5^4 = (3/5)^4
chúc bạn vui vẻ
\(a)\)
\(\frac{-25}{16}=\frac{\left(-5\right).5}{4.4}=\frac{\left(-5\right).5.3}{4.4.3}=\frac{\left(-5\right).15}{12.4}=\frac{\left(-5\right)}{12}.\frac{15}{4}\)
\(b)\)
\(\frac{-25}{16}=\frac{\left(-25\right).4.5}{16.4.5}=\frac{\left(-4\right).25.5}{5.16.4}=\frac{\left(-4\right)}{5}.\frac{125}{64}=\frac{\left(-4\right)}{5}:\frac{64}{125}\)