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

\(4^9:4^4\)
=\(4^{9-4}\)
=\(4^5\)
\(17^8:17^5\)
=\(17^{8-5}\)
= \(17^3\)
\(2^{10}:8^2\)
\(=2^{^{ }10}:\left(2^3\right)^2\)
=\(2^{10}:2^6\)
\(=2^4\)
\(18^{10}:3^{10}\)
=\(\left(18:3\right)^{10}\)
=\(6^{10}\)

243 : 3³ : 3 = 3⁵ : 3³ : 3¹ = 3^{5 - 3 - 1} = 3¹

a, 243 : 3³ : 3= 3⁵ : 3³ : 3 = 3^5-3-1 = 3

hoctot

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

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,

a: \(\dfrac{4^9}{4^4}=4^{9-4}=4^5\)

b: \(\dfrac{17^8}{17^5}=17^{8-5}=17^3\)

c: \(2^{10}:8^2=2^{10}:2^6=2^4\)

d: \(18^{10}:3^{10}=\left(\dfrac{18}{3}\right)^{10}=6^{10}\)

e: \(=\dfrac{3^{15}}{3^{12}}=3^3\)

f: \(=\dfrac{10^6}{10^2}=10^4\)

g: =5^9:5^6=5^3

h: \(=\dfrac{4^{10}}{\left(4^3\right)^3}=\dfrac{4^{10}}{4^9}=4\)

i: \(=2^{25}:2^{20}\cdot\dfrac{1}{18^4}\cdot\dfrac{1}{9^4}\)

\(=\dfrac{2^5}{9^8\cdot2^4}=\dfrac{2}{9^8}\)

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

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

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

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

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

#Urushi

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

x⁸:x⁷:x=x^8-7-1=x⁰=1

x⁸ : x⁷ 

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

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

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

\(c.4.8^6.2.8^3\)

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

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

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) \(10^8:2^8=5^8\)

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

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

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

Bài 2: 

a) Ta có: \(2^x\cdot4=128\)

nên \(2^x=32\)

hay x=5

b) Ta có: \(3^x=81\)

nên \(3^x=3^4\)

hay x=4

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. \(y^{50}:\left(y^5\right)^3:\left(y^2\right)^{10}\)

\(=y^{50}:y^{15}:y^{20}\)

\(=y^{50-15-20}\)

\(=y^{15}\)

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

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

lm hộ mik câu này luôn nha

27.(-2)³.(+343)