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a: \(4^{10}\cdot2^{30}=2^{30}\cdot2^{20}=2^{50}\)
b: \(9^{25}\cdot27^4\cdot81^2=3^{50}\cdot3^{12}\cdot3^8=3^{70}\)
c: \(25^{50}\cdot125^5=5^{100}\cdot5^{15}=5^{115}\)
d: \(64^3\cdot4^8\cdot16^4=4^9\cdot4^8\cdot4^8=4^{25}\)
e: \(2^{10}:8^3=2^{10}:2^9=2\)
\(12^7:6^7=\left(\dfrac{12}{6}\right)^7=2^7\)
f: \(5^8:25^2=5^8:5^4=5^4\)
\(4^9:64^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:2^{20}=2^5\)
\(125^3:25^4=5^9:5^8=5\)
g: 2^5*8^4
=2^5*(2^3)^4
=2^5*2^12
=2^17
a)
49:44=45
178:175=173
210:82=210:24=26
1810:310=1510
275:813=315:312=33
b)106:102=104
59:56=53
410:643=4
225:324=225:220=25
184:94=94
\(4^9:4^4\)
=\(4^{9-4}\)
=\(4^5\)
\(17^8:17^5\)
=\(17^{8-5}\)
= \(17^3\)
\(2^{10}:8^2\)
\(=2^{^{ }10}:\left(2^3\right)^2\)
=\(2^{10}:2^6\)
\(=2^4\)
\(18^{10}:3^{10}\)
=\(\left(18:3\right)^{10}\)
=\(6^{10}\)
a) \(4^9:4^4\)
\(=4^{9-4}\)
\(=4^5\)
b) \(17^8:17^5\)
\(=17^{8-5}\)
\(=17^3\)
c) \(2^{10}:8^2\)
\(=2^{10}:\left(2^3\right)^2\)
\(=2^{10-6}\)
\(=2^4\)
d) \(18^{10}:3^{10}\)
\(=\left(18:3\right)^{10}\)
\(=6^{10}\)
e) \(27^5:81^3\)
\(=\left(3^3\right)^5:\left(3^4\right)^3\)
\(=3^{15}:3^{12}\)
\(=3^{15-12}\)
\(=3^3\)
f) \(10^6:100\)
\(=10^6:10^2\)
\(=10^{6-2}\)
\(=10^4\)
g) \(5^9:25^3\)
\(=5^9:\left(5^2\right)^3\)
\(=5^9:5^6\)
\(=5^{9-6}\)
\(=5^3\)
h) \(4^{10}:64^3\)
\(=4^{10}:\left(4^3\right)^3\)
\(=4^{10-9}\)
\(=4\)
i) \(2^{25}:32^4:18^4:9^4\)
\(=\left(2^{25}:2^{20}\right):\left(18^4\cdot9^4\right)\)
\(=2^5:9^8:2^4\)
\(=2:9^8\)
\(=\dfrac{2}{9^8}\)
a) 6 2010 : 6 10 = 6 2000
b) ( 3 8 . 3 16 ) : ( 3 7 . 3 14 ) = 3 24 : 3 21 = 3 3
c) ( 2 26 : 2 10 ) : ( 2 18 : 2 16 ) = 2 16 : 2 2 = 2 14
d) 25 3 : 125 = ( 25 . 25 . 25 ) : 5 3 = 5 6 : 5 3 = 5 3
a: \(24\cdot16=2^3\cdot3\cdot2^4=2^7\cdot3\)
c: \(75:\left(7\cdot72\right)=\dfrac{3\cdot5^2}{7\cdot3^2\cdot2^2}=\dfrac{5^2}{7\cdot3\cdot2^2}\)
a) \(9^3\cdot3^2\)
\(=\left(3^2\right)^3\cdot3^2\)
\(=3^6\cdot3^2\)
\(=3^8\)
b) \(x^7\cdot x:x^4\)
\(=x^8:x^4\)
\(=x^4\)
c) \(7\cdot3^9+3^{10}+51\cdot3^8\)
\(=3^8\cdot\left(7\cdot3+3^2+51\right)\)
\(=3^8\cdot81\)
\(=3^8\cdot3^4\)
\(=3^{12}\)
d) \(5^{15}\cdot125^3\cdot625\)
\(=5^{15}\cdot5^9\cdot5^4\)
\(=5^{28}\)
a) \(7^{15}\)
b)\(162^8\). 2
c)\(10^8\)
d) \(a^0\)
Xin lỗi nha mk hơi vội nên có sai thì bạn châm trc cho mk nha.
Lần sau bạn chú ý viết đề bằng công thức toán (biểu tượng $\sum$ ở góc trái khung soạn thảo)
Lời giải:
a. $3^2.3^5=3^{2+5}=3^7$
b. $2^7:2^2=2^{7-2}=2^5$
c. $4^5.4=4^{5+1}=4^6$
d. $10^6:10000=10^6:10^4=10^{6-4}=10^2$
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) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)