4³.2⁵.16=(2²)³.2⁵.2⁴=2⁶.2⁵.2⁴=2¹⁵

32.64.8²=2⁵.2⁶.2⁶=2¹⁷

=> A=2¹⁷:2¹⁵=2^17-15=2²=4

Đáp số: A=4

\(\frac{32.64.8^2}{4^3\cdot2^5\cdot16}=\frac{2^5.2^6.2^6}{2^6.2^5.2^3}\)

\(=\frac{2^{5+6+6}}{2^{6+5+3}}=\frac{2^{17}}{2^{14}}=2^{17-14}=2^3=8\)

Mình giải thích thêm nha 

\(8^2=\left(2^3\right)^2=2^6\)

\(4^3=\left(2^2\right)^3=2^6\)

có một câu nữa : d)211/6 : (-4/5) - 271/6 : (-4/5)

a)13/2     b)9,925  c)-1  d)

Trả lời :

a) 4³ . 101 - 64

= 64 . 101 - 64

= 64 . ( 101 - 1 )

= 64 . 100 = 6400

b) \(\frac{5^8}{5^5}+3^2.3^3-\left(30-19\right)^2\)

= 5³ + 3⁵ - 11²

= 125 + 243 - 121

= 247 

a) 4³ .101 - 64 =

= 4³ . 101 - 4³ 

= 4³ .( 101 - 1 ) 

= 4³ .100

= 6400

A, (-25). 21. (-2)2. (-|-3|). (-1)2015

B, (-5)3. 67. (-|-2|). (-1)2014

C, 35.18 – 5.7.28 + 35. (-90)

D, 24. (16 – 5) – 16. (24 – 5)

E, - 79. (73 – 27) – 73. (-79 + 27) 

G, 31. (-18) + 31. (-8)-31

M, -48 + 48. (-78) + 48. (-21)

N, -|-17| + 2. [ 24: (-8) + (-5)2]

I, -|-7|. [(-2)4 + (-36): (-32)] – (-5)3

1) 

3³ . 18 + 72 . 4² - 41 . 18

= 3³ . 18 + 18 . 4³ - 41 . 18

= 18 . ( 3³ + 4³ - 41 )

= 18 . 50

= 900

2) ( 56 . 46 - 25 . 23 ) : 23

= ( 112 . 23 - 25 . 23 ) : 23

= ( 112 - 25 ) . 23 : 23

= 87 . 23 : 23

= 87

3) ( 76 . 34 - 19 . 64 ) : ( 38 . 9 )

= ( 19 . 136 - 19 . 64 ) : ( 19 . 18 )

= 19 . ( 136 - 64 ) : ( 19 . 18 )

= 19 . 72 : 19 . 18

= 19 . 4

= 76

4) ( 5 . 4¹¹ - 3 . 16⁵ ) : 4¹⁰

= ( 5 . 4¹¹ - 3 . 4¹⁰ ) : 4¹⁰

= ( 20 . 4¹⁰ - 3 . 4¹⁰ ) : 4¹⁰

= ( 20 - 3 ) . 4¹⁰ : 4¹⁰

= 17

Bai nay minh lam roi bang 17 do

A=\(\frac{9^2\times5^3\times2^3}{2^3\times9}\)=\(\frac{9\times5^3}{1}\)=1125

B= 24.325+24x276+24.389 = 24x(325+276+389) = 24x990 = 23760

2.5²-3.2+4⁵:4³=2.25-3.2+4²=2.25-3.2+16=50-6+16=60

C= (125.73-125.75):(-25.2)

C= 125.(73-75):-50

C= 125.(-2): -50

C= -250 : -50

C= 5