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10 tháng 10 2015

\(A.4^{10}.2^{30}=\left(2^2\right)^{10}.2^{30}=2^{20}.2^{30}=2^{50}\)

\(B.9^{25}.27^4.81^3=\left(3^2\right)^{25}.\left(3^3\right)^4.\left(3^4\right)^3=3^{50}.3^{12}.3^{12}=3^{74}\)

\(C.25^{50}.125^5=\left(5^2\right)^{50}.\left(5^3\right)^5=5^{100}.5^{15}=5^{115}\)

\(D.64^3.4^8.16^4=\left(2^6\right)^3.\left(2^2\right)^8.\left(2^4\right)^4=2^{18}.2^{16}.2^{16}=2^{50}\)

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

5 tháng 8 2023

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,4^9-4

b,17^8-5

c,2^10-5

d,6^10

e,81

f,

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

\(=\left(-2\right)^6.5^3\)

24 tháng 1 2022

a)(-8).(-2)^3.125=(-2)^3.(-2)^3.5^3=1^3=1

5 tháng 9 2023

\(a,5\cdot p\cdot5\cdot p\cdot2q\cdot4q\)

\(=5^2\cdot p^2\cdot2\cdot q\cdot2^2\cdot q\)

\(=5^2\cdot2^3\cdot p^2\cdot q^2\)

\(b,a\cdot a+b\cdot b+c\cdot c\cdot c+d\cdot d\cdot d\cdot d\)

\(=a^2+b^2+c^3+d^4\)

#Urushi

Bài 1: 

a) \(4^8\cdot2^{20}=\left(2^2\right)^8\cdot2^{20}=2^{36}\)

 \(64^3\cdot4^5=\left(2^6\right)^3\cdot\left(2^2\right)^5=2^{18}\cdot2^{10}=2^{28}\)

\(y\cdot y^7=y^{1+7}=y^8\)

\(a^n\cdot a^2=a^{n+2}\)

Bài 1:

b) \(10^8:2^8=5^8\)

\(17^8:17^5=17^3\)

\(2^{25}:32^4=2^{25}:2^{20}=2^5\)

\(19^4:9^4=\left(\dfrac{19}{9}\right)^4\)

16 tháng 9 2021

\(x^8:x^7:x=x^1:x=1^1\)

16 tháng 9 2021

x8:x7:x=x8-7-1=x0=1

2 tháng 12 2021

\(a,3^4.3^5=3^{4+5}=3^9\\ b,12^8:12=12^{8-1}=12^7\\ c,4.8^6.2.8^3=\left(4.2\right).\left(8^6.8^3\right)=8.8^{6+3}=8.8^9=8^{1+9}=8^{10}\)

2 tháng 12 2021

\(a.3^4.3^5=3^9\)

\(b.12^8:12=12^7\)

\(c.4.8^6.2.8^3\)

\(=\left(4.2\right)8^6.8^3\)

\(=8.8^6.8^3=8^{10}\)

28 tháng 7 2021

a)  3.3^4.3^5 = 3^10

b) 7^3 : 7^2 : 7 = 7^0

c) (x^4)^3 = x^12

a) \(3\cdot3^4\cdot3^5=3^{10}\)

b) \(7^3:7^2:7=7^{3-2-1}=7^0\)

c) \(\left(x^4\right)^3=x^{12}\)