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a) \(3^8:3^4=3^{8-4}=3^4\)
b) \(10^8:10^2=10^{8-2}=10^6\)
c) \(a^6:a=a^{6-1}=a^5\)
Áp dụng quy tắc am : an = am - n(a ≠ 0, m ≥ n ).
a) 38 : 34 = 38 – 4 = 34 = 81;
b) 108 : 102 = 108 – 2 = 106 = 1000000
c) a6 : a = a6 – 1 = a5
a) 56 : 53 = 56-3 = 53
b) a4 : a (a \(\ne\) 0) = a4-1 = a3
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) \(3^3.3^4=3^{3+4}=3^7\)
b) \(5^2.5^7=5^{2+7}=5^9\)
c) \(7^5.7=7^{5+1}=7^6\)
a: \(3\cdot3\cdot3\cdot3\cdot3=3^5\)
b: \(y\cdot y\cdot y\cdot y=y^4\)
c: \(5\cdot p\cdot5\cdot p\cdot2\cdot q\cdot4\cdot q=25\cdot2\cdot4\cdot p^2q^2=2\cdot\left(10qp\right)^2\)
d: \(a\cdot a+b\cdot b+c\cdot c+d\cdot d\cdot d\cdot d=a^2+b^2+c^2+d^4\)
\(16^2:4^2\)
\(=\left(4^2\right)^2:4^2\)
\(=4^4:4^2\)
\(=4^{4-2}\)
\(=4^2\)
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\(25^5:5^2\)
\(=\left(5^2\right)^5:5^2\)
\(=5^{10}:5^2\)
\(=5^{10-2}\)
\(=5^8\)
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\(9^8:3^2\)
\(=\left(3^2\right)^8:3^2\)
\(=3^{16}:3^2\)
\(=3^{16-2}\)
\(=3^{14}\)
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\(a^6:a\)
\(=a^{6-1}\)
\(=a^5\)
\(a,11^8:11^3=11^5\)
\(b,17^{11}:17^9=17^2\)
\(c,4^3:2^2=\left(2^2\right)^3:2^2=2^6:2^2=2^4\)
\(d,a^5:a=a^4\)
!!!
\(a)11^8\div11^3=11^{8-3}=11^5\)
\(b)17^{11}\div17^9=17^{11-9}=17^2\)
\(c)4^3\div2^2=4^3\div4=4^2\)
\(d)a^5\div a=a^4\)
c,2^4
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c) = 24
d) = a4