\(a,4^9:4^4=4^5\\b,17^8:17^5=17^3\\ c,2^{10}:8^2=2^{10}:2^6=2^4\\ d,18^{10}:3^{10}=2^{10}\cdot3^{20}:3^{10}=2^{10}\cdot3^{10}=6^{10}\\ e,27^5:81^3=3^{15}:3^{12}=3^3 \)

\(f,10^6:100=10^6:10^2=10^4\\ g,5^9:25^3=5^9:5^6=5^3\\ h,4^{10}:64^3=4^{10}:4^9=4\\ i,2^{25}:32^4:18^4:9^4=2^{25}:2^{20}:2^4:3^8:3^8=2\)

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

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

175 . 1274 - 175 . 273 - 175

= 175 . 1274 - 175 . 273 - 175 . 1

= 175( 1274 - 273 - 1 )

= 175 . 1000 

= 175 000

175.1274-175.273-175

175.(1274-273-1)

175.1000

175000

175000

a) 425 x 3475 + 425 x 6525
= 425 x (3475 + 6525)
= 425 x 10000
= 4250000
b) 175 x 1274 - 175 x 273 - 175
= 175 x 1274 - 175 x 273 - 175 x 1
= 175 x (1274 - 273 - 1)
= 175 x 1000
= 175000

  \(174\) x \(1274-175\) x \(273-175\)

\(=221676-47775-175\)

\(=173726\)

175 x 54 + 525 x 15 + 175

= 175 x 54 + 175 x (3 x 15) + 175

= 175 x 54 + 175 x 45 + 175

= 175 x (54 + 45 + 1) = 175 x 100 = 17500

Ta có : \(B=\frac{175.88-87}{88+175.87}=\frac{175.\left(87+1\right)-87}{88+175.87}=\frac{175.87+175-87}{88+175.87}=\frac{175.87+88}{88+175.87}=1\)

P/S : Dấu"." là dấu "x"

Cảm ơn bạn nhiều nhé :3

Lời giải:
1. Bạn coi lại đề

2. $=234\times (1257-257)=234\times 1000=234000$

3. $=175\times (1274-273-1)=175\times 1000=175000$

4. $=(4\times 25)\times (125\times 8)=100\times 1000=100000$

1. ...............................

2. $=234\times (1257-257)=234\times 1000=234000$

3. $=175\times (1274-273-1)=175\times 1000=175000$

4. $=(4\times 25)\times (125\times 8)=100\times 1000=100000$