Viết các biểu thức sau đây dưới dạng lũy thừa của một số hữu tỉ:

a) \(10^8.2^8=\left(10.2\right)^8=20^8.\)

b) \(10^8:2^8=\left(10:2\right)^8=5^8.\)

c) \(15^8.9^4=15^8.\left(3^2\right)^4=15^8.3^8=\left(15.3\right)^8=45^8.\)

Chúc bạn học tốt!

\(\frac{8^{11}.3^{17}}{27^{10}.9^{15}}=\frac{8^{11}.3^{17}}{3^{30}.3^{30}}=\frac{8^{11}}{3^{13}.3^{30}}=\frac{8^{11}}{3^{43}}\)

\(\frac{\left(5^4-5^3\right)^3}{125^4}=\frac{[\left(5-1\right).5^3]^3}{5^{12}}=\frac{\left(4.5^3\right)^3}{5^{12}}=\frac{64.5^9}{5^{12}}=\frac{64}{5^3}=\left(\frac{4}{5}\right)^3\)

\(\frac{4^{20}-2^{20}+6^{20}}{6^{20}-3^{20}+9^{20}}=\frac{2^{40}-2^{20}+6^{20}}{6^{20}-3^{20}+3^{40}}=\frac{2^{20}.\left(2^{20}-1+3^{30}\right)}{3^{20}.\left(2^{20}-2+3^{20}\right)}=\frac{2^{20}}{3^{20}}=\left(\frac{2}{3}\right)^{20}\)

a, 4⁸.8⁴

= (2²)⁸.(2³)⁴

= 2¹⁶.2¹²

= 2²⁸

b, 4¹⁵.5¹⁵

= (4.5)¹⁵

= 20¹⁵

c, 2¹⁰.15 + 2¹⁰.85

= 2¹⁰.(15 + 85)

= 2¹⁰.100

=2¹⁰.(2.5)²

= 2¹².5²

d, 3³.9²

= 3³ . (3²)²

= 3³.3⁴

= 3⁷

e, 5¹².7 - 5¹¹.10

= 5¹¹.(5.7 - 10)

= 5¹¹.25

=5¹¹.5²

=5¹³

f, \(x^1\).\(x^2\).\(x^3\)....\(x^{100}\)

= \(x^{1+2+3+...+100}\)

= \(x^{\left(1+100\right).100:2}\)

= \(x^{5050}\)

❤Em cảm ơn cô Nguyễn Thương hoài rất nhiều a!❤

a, 48.84

= (22)8.(23)4

= 216.212

= 228

b, 415.515

= (4.5)15

= 2015

c, 210.15 + 210.85

= 210.(15 + 85)

= 210.100

=210.(2.5)2

= 212.52

d, 33.92

= 33 . (32)2

= 33.34

= 37

e, 512.7 - 511.10

= 511.(5.7 - 10)

= 511.25

=511.52

=513

f, �1x1.�2x2.�3x3....�100x100

= �1+2+3+...+100x1+2+3+...+100

= �(1+100).100:2x(1+100).100:2

= �5050x5050

thu gọn 7^3*7^5

Oh no nhiều kí tự đặc biệt quá

dễ quá mình ko làm  đc 

=(10.2)^8=20^8

25^4.2^8

=25^4.(2^2)^4

=25^4.4^4

=100^4

=(15^2)^4.9^4

=225^4.9^4

(225.9)^4

=2025^4

1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)

b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)

c) \(10^8\div10^3=10^{8-3}=10^5\)

d) \(a^7\div a^2=a^{7-2}=a^5\)

2.

\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)

\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)

\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)

còn bài 2

\(1111=1000+100+10+1=10^3+10^2+10^1+1\)

\(1247=1000+2\times100+4\times10+7=10^3+2\times10^2+4\times10^1+7\)

\(1543=1000+5\times100+4\times10+3=10^3+5\times10^2+4\times10^1+3\)

\(1794=1000+7\times100+9\times10+4=10^3+7\times10^2+9\times10^1+4\)

\(1876=1000+8\times100+7\times10+6=10^3+8\times10^2+7\times10^1+6\)

\(1008=1000+8=10^3+8\)

\(1080=1000+8\times10=10^3+8\times10^1\)

\(1709=1000+7\times100+9=10^3+7\times10^2+9\)

\(1500=1000+5\times100=10^3+5\times10^2\)

\(1097=1000+9\times10+7=10^3+9\times10^1+7\)

\(20000=2\times10000=2\times10^4\)

\(27000=2\times10000+7\times1000=2\times10^4+7\times10^3\)

\(28700=2\times10000+8\times1000+7\times100\)

\(24004=2\times10000+4\times1000+4=2\times10^4+4\times10^3+4\)

\(26013=2\times10000+6\times1000+1\times10+3=2\times10^4+6\times10^3+10^1+3\)

\(20508=2\times10000+5\times100+8=2\times10^4+5\times10^2+8\)

\(20358=2\times10000+3\times100+5\times10+8=2\times10^4+3\times10^2+5\times10^1+8\)

\(20009=2\times10000+9=2\times10^4+9\)

\(29830=2\times10000+9\times1000+8\times100+3\times10=2\times10^4+9\times10^3+8\times10^2+3\times10^1\)

\(25763=2\times10000+5\times1000+7\times100+6\times10+3=2\times10^4+5\times10^3+7\times10^2+6\times10^1+3\)

bài 2: n=6

a)4².8²=32²

k giúp