Viết dưới dạng lũy thừa :
(-3/4)^10:(-1/2)^10
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1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)
b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)
c) \(10^8\div10^3=10^{8-3}=10^5\)
d) \(a^7\div a^2=a^{7-2}=a^5\)
2.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
\(\begin{array}{l}{3^3}{.3^4} = {3^{3 + 4}} = {3^7};\\{10^4}{.10^3} = 10^{4+3}= {10^7};\\{x^2}.{x^5} = x^{2+5} = {x^7}.\end{array}\
8=2^3 ; 20=20^1 ; 60=60^1 ; 90=90^1
16=2^4 ; 27=3^3 ; 81=3^4 ; 100=10^2
102 = 100
103 = 1000
104 = 10000
105 = 100000
106 = 1000000
1000 = 103
1000000 = 106
1000000000 = 109
100...0 (12 chữ số 0) = 1012
84.165=232
540.1252.253=552
274.8110=352
103.1005.10004=1025
Chúc hk tốt!!!
+) \(8^4\times16^5=\left(2^3\right)^4\times\left(2^4\right)^5=2^{12}\times2^{20}=2^{12+20}=2^{32}\)
+) \(5^{40}\times125^2\times25^3=5^{40}\times\left(5^3\right)^2\times\left(5^2\right)^3=5^{40}\times5^6\times5^6=5^{40+6+6}=5^{52}\)
+) \(27^4\times81^{10}=\left(3^3\right)^4\times\left(3^4\right)^{10}=3^{12}\times3^{40}=3^{12+40}=3^{52}\)
+) \(10^3\times100^5\times1000^4=10^3\times\left(10^2\right)^5\times\left(10^3\right)^4=10^3\times10^{10}\times10^{12}=10^{3+10+12}=10^{25}\)
_Chúc bạn học tốt_
`(1 1/4)^10 . (2/5)^20`
`=(5/4)^10 . (2/5)^20`
`=(5^10 .2^20)/(4^10 .5^20)`
`=(5^10 .4^10)/(4^10 .5^20)`
`=1/(5^10)`
`=(1/5)^10`
a. 2^3 . 2^2 . 2^4
= 2^9
b. 10^2 . 10^3 . 10^5
= 10^10
c. x. x^5
= x^6
d. a^3 . a^2 . a^5
= a^10
a) \(2^3.2^2.2^4\)
\(=2^{3+2+4}\)
\(=2^9\)
b) \(10^2.10^3.10^5\)
\(=10^{2+3+5}\)
\(=10^{10}\)
c) \(x.x^5=x^1.x^5=x^6\)
d) \(a^3.a^2.a^5=a^{3+2+5}=a^{10}\)
a) 8 = 23
425 = 25.35.75
16 = 24
b) (0,09)3 = (3/10)6
(3/10)8 = (3/10)8
0,027 = (3/10)3
`@` `\text {Ans}`
`\downarrow`
`a)`
`8 = 2^3`
`32^5` chứ ạ?
`32^5 = (2^5)^5 = 2^10`
`16 = 2^4`
`b)`
`(0,09)^3 = (0,3^2)^3 = 0,3^6` hay `(3/10)^6`
`(3/10)^8 = (3/10)^8`
`(0,027) = (0,3)^3` hay `(3/10)^3`
`@` `\text {Kaizuu lv uuu}`
\(\left(-\frac{3}{4}\right)^{10}:\left(-\frac{1}{2}\right)^{10}\)
\(=\left(\frac{-3}{4}:\frac{-1}{2}\right)^{10}\)
\(=\left(\frac{3}{2}\right)^{10}\)
\(\left(-\frac{3}{4}\right)^{10}:\left(-\frac{1}{2}\right)^{10}=\left[\left(-\frac{3}{4}\right):\left(-\frac{1}{2}\right)\right]^{10}=\left(\frac{3}{2}\right)^{10}\)