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Ta có : \(10^8-2>10^8-3\)
\(\Rightarrow\frac{10^8}{10^8-2}< \frac{10^8}{10^8-3}\)
Chúc bạn học tốt !!!
\(\frac{10^8+2}{10^8-1}=1+\frac{3}{10^8-1}<1+\frac{3}{10^8-3}=\frac{10^8}{10^8-3}\)
a) $3^8:3^6=3^{8-6}=3^2$
$19^7:19^3=19^{7-3}=19^4$
$2^{10}:8^3=2^{10}:(2^3)^3=2^{10}:2^9=2^{10-9}=2^1$
$12^7:6^7=(12:6)^7=2^7$
$27^5:81^3=(3^3)^5:(3^4)^3=3^{15}:3^{12}=3^{15-12}=3^3$
b) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
1: Ta có: A = 108 + 2/ 108 - 1 = 3/108 - 1
B = 108 / 108 - 3 = 3 / 108 -3
2: Vì 3 / 108 - 1 < 3 / 108 -3 nên
Nên A< B
\(A=\frac{10^8+2}{10^8-1}=1\frac{3}{10^8-1}\)
\(B=\frac{10^8}{10^8-3}=1\frac{3}{10^8-3}\)
Vì \(\frac{3}{10^8-1}<\frac{3}{10^8-3}\) nên A<B
Áp dụng a/b > 1 => a/b > a+m/b+m (a,b,m thuộc N*)
Ta có:
\(b=\frac{10^8}{10^8-3}>\frac{10^8+2}{10^9-3+2}\)
\(b>\frac{10^8+2}{10^9-1}=a\)
=> b > a
so sánh a = 108+2\108-1 ; b = 108\108-3
BL:
Áp dụng a/b > 1 => a/b > a+m/b+m (a,b,m thuộc N*)
Ta có:
b=108/108−3 >108+2/109−3+2
b>108+2/109−1 =a
=> b > a
\(2^{10}:8^3=2^{10}:2^9=2^{10-9}=2^1=2\)
210 : (23)3
= 210 : 29
= 2