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a) 23 . 22 . 24
= 22+3+4
= 29
b) 102 . 103 . 105
= 102+3+5
= 1010
c) x . x5
= x1+5
= x6
d) a3 . a2 . a5
= a3+2+5
= a10
Viết kết quả phép tính dưới dạng một lũy thừa :
a) 23 . 22.24; b) 102 . 103. 105
c) x.x5 d) a3.a2.a5
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) 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+5 = x^6
d) a^3 . a^2 . a^5 = a^3+2+5 = a^10.
a) 23 . 22 . 24 = 29
b) 102 . 103 . 105 = 1010
c) x . x5 = x6
b) a3 . a2 . a5 = a10
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) $3^8:3^6=3^{8-6}=3^2$
$19^7:19^3=19^{7-3}=19^4$
$2^{10}:8^3=2^{10}:(2^3)^3=2^{10}:2^9=2^{10-9}=2^1$
$12^7:6^7=(12:6)^7=2^7$
$27^5:81^3=(3^3)^5:(3^4)^3=3^{15}:3^{12}=3^{15-12}=3^3$
b) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
a) 23 . 22 . 24 = 23 + 2 + 4 = 29;
b) 102 . 103 . 105 = 102 + 3 + 5 = 1010
c) x . x5 = x1 + 5 = x6
d) a3 . a2 . a5 = a3 + 2 + 5 = a10
\(2^3\cdot2^2\cdot2^4=2^{3+2+4}=2^9\)
\(10^2\cdot10^3\cdot10^5=10^{2+3+5}=10^{10}\)
\(x\cdot x^5=x^6\)
\(a^3\cdot a^2\cdot a^5=a^{3+2+5}=a^{10}\)
2^3.2^2.2^4
=2^9
10^2.10^3.10^5
=10^10
x.x^5
= x^6