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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) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
\(3^3.\left(18-1\right)\)
\(=3^3.17=27.17=459\)
\(b,3^6.3^2+2.\left(3^4\right)^2\)
\(=3^8+2.3^8\)
\(=3^8.\left(1+2\right)=3^8.3=3^9\)
a, \(3^3.18-3^3\)
\(=3^3.\left(18-1\right)\)
\(=3^3.17\)
b, \(3^6.3^2+2.81^2\)
\(=3^8+2.\left(3^4\right)^2\)
\(=3^8+2.3^8\)
\(=3^8.\left(1+2\right)\)
\(=3^8.3\)
\(=3^9\)
274 . 93=(33)4 . (32)3
#Hok tốt~~~
Chị ko chắc đâu
\(9^3=\left(3^2\right)^3=3^6\)
\(27^4=\left(3^3\right)^4=3^{12}\)
\(\Rightarrow3^{12}\times3^6=3^{18}\)
chúc bạn học tốt nha
a) 37:35= 32
b)46 :46= 40
C) a4 : a= a3
d) 98:32 =314
e) 85:23 = 212
f) 37:27 = 34
\(a,3^7:3^5=3^2\)
\(b,4^6:4^6=4^0\)
\(c,a^4:a=a^3\)
\(d,9^8:3^2=9^4\)
\(e,8^5:2^3=8^{-7}\)
\(f,3^7:27=3^4\)
a) $125^3:25^4=(5^3)^3:(5^2)^4=5^9:5^8=5^1$
$16^4:4^2=(4^2)^4:4^2=4^8:4^2=4^6$
$27^8:9^4=(3^3)^8:(3^2)^4=3^{24}:3^8=3^{16}$
$125^5:25^3=(5^3)^5:(5^2)^3=5^{15}:5^6=5^9$
$4^{14}:5^{28}=(2^2)^{14}:5^{28}=2^{28}:5^{28}=(\dfrac{2}{5})^{28}$
b) $12^n:2^{2n}=12^n:(2^2)^n=12^n:4^n=3^n$
$64^4.16^5.4^{20}=(4^3)^4.(4^2)^5.4^{20}=4^{12}.4^{10}.4^{20}=4^{42}$
a)= 24x5^5+5^5=5^5(24+1)=5^5x5^2=5^7
b)=21x3^8+9x3^8+51x3^8=3^8(21+9+51)=3^8x3^4=3^12
a)(3^3)5:3^2=3^15:3^2=3^13
b)(9.2)^3:9^3=9^3.2^3:9^3=9^3:9^3.2^3=1.2^3=2^3