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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) \(3^3 : 3^2\)=\(3^{3-2}=3^1\)
b) \(5^{4} : 5^{2}\)=\(5^{4-2}=5^2\)
c) \(8^{3} . 8^{2}\)=\(8^{3+2}=8^5\)
d) Cách 1:
\(5^{4} . 5^{3}: 5^{2}=5^{4+3}:5^2=5^7:5^2=5^{7-2}=5^5\)
Cách 2:
\(5^{4} . 5^{3}: 5^{2}=5^{4+3-2}=5^5\)
a. 2^3 . 2^2 . 2^4
= 2^9
b. 10^2 . 10^3 . 10^5
= 10^10
c. x. x^5
= x^6
d. a^3 . a^2 . a^5
= a^10
a) \(2^3.2^2.2^4\)
\(=2^{3+2+4}\)
\(=2^9\)
b) \(10^2.10^3.10^5\)
\(=10^{2+3+5}\)
\(=10^{10}\)
c) \(x.x^5=x^1.x^5=x^6\)
d) \(a^3.a^2.a^5=a^{3+2+5}=a^{10}\)
1)
g) \(24+5x\text{=}7^5:7^3\)
\(24+5x\text{=}7^{5-3}\)
\(24+5x\text{=}7^2\text{=}49\)
\(5x\text{=}49-24\text{=}25\)
\(x\text{=}5\)
h) \(x:2^2\text{=}2^3\)
\(x\text{=}2^3.2^2\)
\(x\text{=}2^5\text{=}32\)
2)
a) \(2^{10}.8.2^3\text{=}2^{10}.2^3.2^3\text{=}2^{10+3+3}\text{=}2^{16}\)
\(b)3^5:27\text{=}3^5:3^3\text{=}3^{5-3}\text{=}3^2\)
\(c)5^2.125\text{=}5^2.5^3\text{=}5^{2+3}\text{=}5^5\)
\(d)6^6:36\text{=}6^6:6^2\text{=}6^{6-2}\text{=}6^4\)
1.
g) \(24+5x=7^5:7^3\left(=7^{5-3}\right)\) -> Trong ngoặc ko cần viết nha
\(24+5x=7^2=49\)
\(5x=49-24\)
\(5x=25\)
\(x=25:5\)
\(=>x=5\)
h) \(x:2^2=2^3\)
\(x=2^3.2^2\)
\(=>x=2^5\)
2.
a) \(2^{10}.8.2^3=2^{10}.\left(2^3\right)2^3=2^{10+3+3}=2^{16}\)
b) \(3^5:27=3^5:\left(3^3\right)=3^{5-3}=3^2\)
c) \(5^2.125=5^2.\left(5^3\right)=5^{2+3}=5^5\)
d) \(6^6:36=6^6:\left(6^2\right)=6^{6-2}=6^4\)
Công thức:
\(a^m.a^n=a^{m+n}\)
\(a^m:a^n=a^{m-n}\)
\(#Wendy.Dang\)
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)23.22.24=2(3+2+4)=29
b)102.103.105=10(2+3+5)=1010
c)X.X5=X1.X5=X(1+5)=X6
d)a3.a2.a5=a(3+2+5)=a10
a) 3 13
b) 5 12
c) a 19
d) x 15