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2:
a: n=5^4
=>n=625
b: n^3=125
=>n^3=5^3
=>n=5
c: 11^n=1331
=>11^n=11^3
=>n=3
Câu 1:
a)\(2^3.2^2.2^4=2^{\left(3+2+4\right)}=2^9\)
b)\(10^2.10^3.10^5=10^{\left(2+3+5\right)}=10^{10}\)
c)\(x.x^5=x^6\)
d)\(a^3.a^2.a^5=a^{\left(2+3+5\right)}=a^{10}\)
`3.5 .15.15 = 3.5.3.5.3.5 = 3^3.5^3`
`2.2.5.2.5 = 2^3 . 5^2`
`1000.10 .10 = 10^3 .10^1 . 10^1 = 10^5`
`a.a.a.b.b.b = a^3 . b^3`
`n.n.n + p.p = n^3 . p^2`
a: =15*15*15=15^3
b: =2^3*5^2
c: =10^3*10^2=10^5
d: =a^3*b^3
e: =n^3+p^2
A. \(256:2^5\cdot4\)
\(=2^6:2^5\cdot2^2\)
\(=2^{6-5+2}\)
\(=2^3\)
B. \(\left(4x^2\right)^8:\left(4x^2\right)^4:\left(4x^2\right)^2\)
\(=\left(4x^2\right)^{8-4-2}\)
\(=\left(4x^2\right)^2\)
\(=\left[\left(2x\right)^2\right]^2\)
\(=\left(2x\right)^4\)
C. \(y^{50}:\left(y^5\right)^3:\left(y^2\right)^{10}\)
\(=y^{50}:y^{15}:y^{20}\)
\(=y^{50-15-20}\)
\(=y^{15}\)
\(a,3^4.3^5=3^{4+5}=3^9\\ b,12^8:12=12^{8-1}=12^7\\ c,4.8^6.2.8^3=\left(4.2\right).\left(8^6.8^3\right)=8.8^{6+3}=8.8^9=8^{1+9}=8^{10}\)
\(a.3^4.3^5=3^9\)
\(b.12^8:12=12^7\)
\(c.4.8^6.2.8^3\)
\(=\left(4.2\right)8^6.8^3\)
\(=8.8^6.8^3=8^{10}\)
1) 2 . 2 . 2 . 3 . 3 = 23 . 32
2) 23 . 22 . 24 = 23 + 2 + 4 = 29
102 . 103 . 105 = 102 + 3 + 5 = 1010
1)
a) 23x 32 = 72
2)
a) 23x22x24= 29
b) 10^2x10^3x10^5=10^10
c)x.x^5=x^6'
k mik nha