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

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

d)  25 3  : 125 = ( 25 . 25 . 25 ) : 5 3  = 5 6 :  5 3  =  5 3

\(a,4^8.2^{20}=\left(2^2\right)^8.2^{20}=2^{16}.2^{20}=2^{16+20}=2^{36}\\ b,9^{12}.27^5.81^4=\left(3^2\right)^{12}.\left(3^3\right)^5.\left(3^4\right)^4=3^{24}.3^{15}.3^{16}=3^{24+15+16}=3^{55}\\ d,25^{20}.125^4=\left(5^2\right)^{20}.\left(5^3\right)^4=5^{40}.5^{12}=5^{40+12}=5^{52}\\ d,x^7.x^4.x^3=x^{7+4+3}=x^{14}\)

a: 4*8*2^20=2^2*2^3*2^20=2^25

b: 9^12*27^5*81^4=3^24*3^15*3^16=3^55

c: 25^20*125^4=5^40*5^12=5^52

d: =x^(7+4+3)=x^14

a) 4.9.16=2.2.3.3.4.4=2.2.3.3.2.2.2.2=2⁶.3²

b)4.6.9.15.25=2.2.3.2.3.3.3.5.5.5=2³.3⁴.5³=10³.3⁴

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

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

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

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

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

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

#Urushi

bài 11

\(6.6.6.6=6^4\) '\(b.5.15.15.15.3=15.15.15.15=15^4\)

\(c.81.3.3.3=3^4.3^3=3^7\)

bài 12.

\(a.765.5=153.5^2\)

\(b.837.7.7=93.21^2\)

\(c.568.8.2.4=71.8.2^6=71.2^9\)

272 : 253 = (33)2 : (52)3 

= 33.2 : 52.3

 = 36 :  5 6 = 3 5 6