Viết các tích sau dưới dạng lũy thừa:
a) \(\text{5.5.5.5;}\) b) \(\text{9.9.9.9.9.9.9;}\)
c) \(\text{7.7.7.7.7; }\) d) \(a.a.a.a.a.a.a.a.\)
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\(a,5\cdot5\cdot5\cdot5=5^4\\b,9\cdot9\cdot9\cdot9\cdot9\cdot9\cdot9=9^7\\c,7\cdot7\cdot7\cdot7\cdot7=7^5\\d,a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a=a^8\)
\(25^2:100^0=\left(5^2\right)^2:1=5^4\\ 30^3:30^0=2^3.3^3.5^3:1=2^3.3^3.5^3\)
a) \({2^m}{.2^n}=\underbrace {2.2 \ldots .2}_{m{\rm{ }}}{\rm{ }}.\underbrace {2.2 \ldots .2}_{n{\rm{ }}}{\rm{ }}\) = 2m+n
b) \({3^m}:{3^n}=(\underbrace {3.3 \ldots .3}_{m{\rm{ }}}{\rm{ }}):(\underbrace {3.3 \ldots .3}_{n{\rm{ }}}{\rm{ }})\) = 3m-n với \(m \ge n\)
a) 9 . 9 . 9 . 9 . 9 = 95
b) 10 . 10 . 10 . 10 = \(10^4\)
c) 5.5.5.25=5.5.5.5.5=\(5^5\)
d) a.a.a.a.a.a=\(a^6\)
a) 9.9.9.9.9=95 b) 10. 10. 10. 10=104
c) 5.5.5.25=5.5.5.5.5=55 d) a.a.a.a.a.a=a6
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. \(4.8^6.2.8^3=2^2.2^{18}.2.2^9=2^{30}\)
\(12^2.2.12^3.6=12^2.12.12^3=12^6\)
\(6^3.2.6^4.3=6^3.6.6^4=6^8\)
\(a.\) \(5\cdot5\cdot5\cdot5=5^4\)
\(b.\) \(9\cdot9\cdot9\cdot9\cdot9\cdot9\cdot9=9^7\)
\(c.\) \(7\cdot7\cdot7\cdot7\cdot7=7^5\)
\(d.\) \(a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a=a^8\)
.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