1. Viết mỗi số sau dưới dạng một lũy thừa :
a} 25 2 . 52
b} 92 . 9 . 27
c} 43 . 4 . 8
2. Tìm x:
a} x2 = 49
b} x3 = 64
c} x4 = 16
d} [ x + 1 ] 2 = 25
e} x100 = x
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\(1,\\ a,=\left(x+2\right)\left(x^2-2x+4\right)\\ b,=\left(x-4\right)\left(x^2+8x+16\right)\\ c,=\left(3x+1\right)\left(9x^2-3x+1\right)\\ d,=\left(4m-3\right)\left(16m^2+12m+9\right)\\ 2,\\ a,=x^3+125\\ b,=1-x^3\\ c,=y^3+27t^3\)
a)
\(=\left(x+2\right)\left(x^2-2x+4\right)\)
b)
\(=\left(x-4\right)\left(x^2+4x+16\right)\)
c)=\(\left(3x+1\right)\left(9x^2-3x+1\right)\)
d)
=\(\left(4m-3\right)\left(16m^2+12m+9\right)\)
a: =3^4*3^9=3^13
b: =2^10:2^7*2^20*2^30=2^53
c: =2^12*2^10*2^30=2^52
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.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
a) \(^{25^2}\).\(5^2\)=\(\left(5^2\right)^2\).5\(^2\)=\(^{5^4}\).\(5^2\)=5\(^6\)
b)9\(^2\).9.27 = 9\(^2\).9.9\(^3\)=9\(^6\)
c)4\(^3\).4.8=\(4^3\).4.4\(^2\)=4\(^6\)
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a) x\(^2\)=7\(^2\)→x = 7
b)x\(^3\)=4\(^3\)→x=4
c)x\(^4\)=2\(^4\)→x=2
d)\(\left(x+1\right)^2\)=5\(^2\)→x+1=5→x=4
e) x \(\in\Phi\)