Viết thương sau dưới dạng lũy thừa:
a)275 : 813
b)59 : 813
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a)
49:44=45
178:175=173
210:82=210:24=26
1810:310=1510
275:813=315:312=33
b)106:102=104
59:56=53
410:643=4
225:324=225:220=25
184:94=94
\(4^9:4^4\)
=\(4^{9-4}\)
=\(4^5\)
\(17^8:17^5\)
=\(17^{8-5}\)
= \(17^3\)
\(2^{10}:8^2\)
\(=2^{^{ }10}:\left(2^3\right)^2\)
=\(2^{10}:2^6\)
\(=2^4\)
\(18^{10}:3^{10}\)
=\(\left(18:3\right)^{10}\)
=\(6^{10}\)
\(a.\) \(5\cdot5\cdot5\cdot5=5^4\)
\(b.\) \(9\cdot9\cdot9\cdot9\cdot9\cdot9\cdot9=9^7\)
\(c.\) \(7\cdot7\cdot7\cdot7\cdot7=7^5\)
\(d.\) \(a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a=a^8\)
.a. 5⋅5⋅5⋅5=5^4
.b. 9⋅9⋅9⋅9⋅9⋅9⋅9=9^7
.c. 7⋅7⋅7⋅7⋅7=7^5
d. a⋅a⋅a⋅a⋅a⋅a.a.a=a^8
a. \(3^4.3^5=3^9\)
\(16.2^9=2^4.2^9=2^{13}\)
\(16.32=2^4.2^5=2^9\)
b. \(12^8.12=12^9\)
\(243:3^4=3^5:3^4=3\)
\(10^9:10000=10^9:10^4=10^5\)
c. \(4.8^6.2.8^3=2^2.2^{18}.2.2^9=2^{30}\)
\(12^2.2.12^3.6=12^2.12.12^3=12^6\)
\(6^3.2.6^4.3=6^3.6.6^4=6^8\)
a) `7^4 .7^5 .7^6 = 7^(4+5+6)=7^(15)`
b) `(54:3^7) .324 =( 2.3^3 : 3^7).2^2 x3^4`
`=(2: 3^4).3^4 .2^2`
`= 2.2^2=2^3`
c) `[(8+2^2).10^100] : (10^0 .10^94)`
`=(12 . 10^100) : 10^94`
`=12 . (10^100 : 10^94)`
`=12 . 10^6`
d) `a^9 :a^9 = a^(9-9)=a^0`
MIK SỬA LẠI ĐỀ CÂU B
a) \(27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
b) \(3^9:81^3=3^9:\left(3^4\right)^3=3^9:3^{12}=3^{-3}\)
a) \(\left(3^3\right)^5:\left(3^4\right)^3\)
= \(3^{15}:3^{12}\)
= \(3^3\)