Ta có : 12⁸ . 9¹² = ( 3. 4 )⁸. (3²)¹²

= 3⁸. 4⁸. 3²⁴

= (2²)⁸. 3³²

=2¹⁶. (3²)¹⁶

= 2¹⁶. 9¹⁶

= (2 .  9)¹⁶

=18¹⁶

ý thứ hai làm tương tự

\(8^5.16^2.32^4\)

\(=\left(2^3\right)^5.\left(2^4\right)^2.\left(2^5\right)^4\)

\(=2^{15}.2^8.2^{20}\)

\(=2^{15+8+20}\)

\(=2^{43}\)

Chúc bạn hk tốt nha!!!

cảm ơn bạn nhìu

ko bit

a, 20^2 - 6^ 2=  400 - 36 = 364

b,3^3 . 18 - 3^3 . 12 = 3^3 . ( 18-12) = 27 . 6 = 162

c, 39 . 213 + 87 . 39 = ( 213 + 87) . 39 = 300 . 39 = 110700

d, 80 - [ 130 - ( 12 - 4)^2] = 80 - [130 - (3^2) ] = 80 - 130 - 9 = -59

4/25 nhé em đánh giá 5 * cho chị nhé 

\(\dfrac{25^3.2^{10}}{16^2.625^2}=\dfrac{25^3.2^{10}}{2^8.25^2}=\dfrac{25.2^2}{1}=25.4=100.\)

\(\dfrac{25^3.2^{10}}{16^2.625^2}=\dfrac{\left(5^2\right)^3.2^{10}}{\left(2^4\right)^2.\left(5^4\right)^2}\)

\(=\dfrac{5^6.2^{10}}{2^8.5^8}\)

\(=\dfrac{2^2}{5^2}\)

\(=\dfrac{4}{25}\)

a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)

 1/2 x 2 mũ n cộng 4 x 2 mũ n = 9 x 2 mũ n

a,18³:9³=(18-9)³=729

b,còn lại tự làm ,làm mẫu đến đây thôi

l.i.k.e cho mình nha Nguyen vu dang nguyen

18³: 9³=8

C) 213

D)0

b1:4^10.8^15 = (2^2)^10.(2^3)^15 = 2^20.2^45 = 2^65

b>

2 mũ 56 nhân 125 mũ 7 = 3,435973837* 10 mủ 31

c>

625 mũ 5 nhân 25 mũ7 = 5,920766091* 10 mủ 23

d>

12 mũ 3 nhân 3 mũ 3 =10077606

e> 

24 mũ 4 chia 3 mũ 4 - 32 mũ 12 nhân 16 mũ 12 = -2,882303762 * 10 mủ 17

g>

( 5 mũ 3 + 5 mũ 4 +125 mũ 2) chia 5 mũ 3= 131