a) 2^4 * 38 - 2^4 * 37 = 16 * 38 - 16 * 37 = 608 - 592 = 16

b) 4^2 * 444446 - 4^3 * 111111 = 16 * 444446 - 64 * 111111 = 7107136 - 7106944 = 192

c) (2^9 * 3 + 2^9 * 5) / 2^12 = (512 * 3 + 512 * 5) / 4096 = (1536 + 2560) / 4096 = 4096 / 4096 = 1

d) 13^2 - (5^2 * 4 + 2^2 * 15) = 169 - (25 * 4 + 4 * 15) = 169 - (100 + 60) = 169 - 160 = 9

Viết lạ vậy em ):)

\(a,2^4.38-2^4.37=2^4.\left(38-37\right)=2^4.1=16\\ b,4^2.444446-4^3.111111\\ =4^2.\left(444446-4.111111\right)\\ =4^2.2=16.2=32\\ c,\left(2^9.3+2^9.5\right):2^{12}\\ =2^9.\left(3+5\right):2^{12}=2^9.8:2^{12}=2^9.2^3:2^{12}=2^{9+3-12}=2^0=1\\ d,13^2-\left(5^2.4+2^4.15\right)=13^2-5.4.\left(5+4.3\right)\\ =169-20.17\\ =169-340=-171\)

**** nhá mình trả lời đầu tiên mà Thanks so much ^__^

( -5 ) + 2 + / + 3/ + ( -4 ) + / -1 /

=( -5 ) +( 2 + 3)

= ( -5 ) + 5   +   [ ( -4 ) + 1 ]

=0 + (-3)

= -3

\(\dfrac{-1}{9}.\dfrac{3}{5}+\dfrac{-1}{4}.\dfrac{-4}{5}+\dfrac{1}{9}.\dfrac{2}{5}\)

\(\text{=}\dfrac{-1}{15}+\dfrac{1}{5}+\dfrac{2}{45}\)

\(\text{=}\dfrac{8}{45}\)

Áp dụng tính chất đổi dấu và giao hoán của phép nhân phân số, ta có:

\(\dfrac{-1}{9}.\dfrac{3}{5}+\dfrac{-1}{4}.\dfrac{-4}{5}+\dfrac{1}{9}.\dfrac{2}{5}=\dfrac{1}{5}.\dfrac{-3}{9}+\dfrac{1}{5}.\dfrac{4}{4}+\dfrac{1}{5}.\dfrac{2}{9}\)

                                           \(=\dfrac{1}{5}\left(-\dfrac{3}{9}+1+\dfrac{2}{9}\right)\)

                                           \(=\dfrac{1}{5}\left(-\dfrac{3}{9}+\dfrac{9}{9}+\dfrac{2}{9}\right)\)

                                           \(=\dfrac{1}{5}.\dfrac{8}{9}\)

                                           \(=\dfrac{8}{45}\)

TL :

a, ( -12/16 + 7/14 ) - ( 1/13 - 3/13 )

= ( -3/4 + 1/2 ) - (-2/13)

= (-3/4 + 2/4 ) - ( -2/13 )

= -1/4 - ( -2/13 )

= (-13/52 ) - (-8/52)

= -5/52

b, 10/11 + 4/11 : 4 - 1/8 = 10/11 + 1/11 - 1/8

= 11/11 - 1/8

= 1 -1/8 

= 8/8 - 1/8

= 7/8

HT

7/8 

HTTTTTTTTTTTTTTTTTTT

4/5 - 1/4 + 3/10 = 16/20 - 5/20 + 6/20 = 17/20 

\(\frac{4}{5}-\frac{1}{4}+\frac{3}{10}\)

= \(\frac{16}{20}-\frac{5}{20}+\frac{6}{20}\)

= \(\frac{11}{20}+\frac{6}{20}\)

= \(\frac{17}{20}\)

Chúc bạn học tốt nhé !!

\(4\frac{2}{5}+2\frac{3}{7}-2\frac{2}{5}+5\frac{4}{7}\)

\(=\left(4\frac{2}{5}-2\frac{2}{5}\right)+\left(2\frac{3}{7}+5\frac{4}{7}\right)\)

\(=2+8\)

=10

4 2/5 + 2 3/7 - 2 2/5 + 5 4/7

= 22/5 + 17/7 -12/5 + 39/7

= ( 22/5 - 12/5 ) + ( 17/7 + 39/7 )

= 2 + 8 

= 10