`@` `\text {Ans}`

`\downarrow`

\(\dfrac{21^2\cdot14\cdot125}{35^2\cdot125}\)

`=`\(\dfrac{3^2\cdot7^2\cdot2\cdot7\cdot5^2}{5^2\cdot7^2\cdot5^2}\)

`=`\(\dfrac{3^2\cdot2\cdot7\cdot5^2\cdot7^2}{5^2\cdot5^2\cdot7^2}\)

`=`\(\dfrac{3^2\cdot2\cdot7}{5^2}=\dfrac{126}{25}\)

A = \(\dfrac{21^2.14.125}{35^5.6}\)

= \(\dfrac{\left(3.7\right)^2.\left(2.7\right).5^3}{\left(5.7\right)^5.\left(2.3\right)}\)

= \(\dfrac{3^2.7^2.2.7.5^3}{5^5.7^5.2.3}\)

= \(\dfrac{3^2.7^3.2.5^3}{5^5.7^5.2.3}\)

= \(\dfrac{3}{5^2.7^2}\)

= \(\dfrac{3}{35^2}\)

@Pham Thi Thu Trang

B = \(\dfrac{2^{10}.13+2^{10}.65}{2^8.104}\)

= \(\dfrac{2^{10}\left(13+65\right)}{2^8.104}\)

= \(\dfrac{2.78}{104}\)

= \(\dfrac{3}{2}\)

@Pham Thi Thu Trang

C = \(\dfrac{7^{13}+7^5}{7^{10}+7^2}\)

= \(\dfrac{7^5\left(7^8+1\right)}{7^2\left(7^8+1\right)}\)

= 7³
@Pham Thi Thu Trang

idonno

giupminhdi

\(\frac{15}{25}=\frac{15:5}{25:5}=\frac{3}{5}\); \(\frac{6}{21}=\frac{6:3}{21:3}=\frac{2}{7}\)

\(\frac{3}{5}+\frac{2}{7}=\frac{31}{35}\)

\(\frac{15}{25}+\frac{6}{21}=\frac{3}{5}+\frac{2}{7}=\frac{21}{35}+\frac{10}{35}=\frac{31}{35}\)

15/25+6/21

ta có:

15/25=15:5/25:5=3/5

6/21=6:3/21:3=2/7

3/5+2/7=31/35

tick nha

Lời giải:
\(=\frac{5.2^2.2^{30}.3^{20}-2^2.3^{21}.2^{30}}{5.2.2^{20}.5^{10}.2^{20}.3^{20}-2^{31}.3^{21}}=\frac{5.2^{32}.3^{20}-2^{32}.3^{21}}{5^{11}.2^{41}.3^{20}-2^{31}.3^{21}}\\ =\frac{2^{32}.3^{20}(5-3)}{2^{31}.3^{20}(5^{11}.2^{10}-3)}\\ =\frac{2^{33}.3^{20}}{2^{31}.3^{20}(5^{11}.2^{10}-3)}=\frac{4}{5^{11}.2^{10}-3}\)

Câu 1: \(\frac{17}{51}\)x \(\frac{45}{30}\)= \(\frac{1}{3}\)x \(\frac{3}{2}\)

                                   = \(\frac{1}{2}\).

Câu 2: \(\frac{24}{15}\)x \(\frac{56}{72}\)x \(\frac{10}{14}\)= \(\frac{8}{5}\)x \(\frac{7}{9}\)x \(\frac{5}{7}\)

                                                 = \(\frac{56}{45}\)x \(\frac{5}{7}\)

                                                 = \(\frac{8}{9}\)

Câu 3: \(\frac{32}{48}\times\frac{35}{21}\times\frac{63}{14}\times\frac{9}{30}=\frac{2}{3}\times\frac{5}{3}\times\frac{9}{2}\times\frac{3}{10}=\frac{3}{2}\)

k nha

a)17/51x45/40=1/3x3/2=3/6=1/2

b)24/15x56/72x10/14=8/5x7/9x5/7=8/9

c)32/48x35/21x63/14x9/30=2/3x5/3x9/2x3/10=3/2

x x 134 -x x24 -x x 10 = x x ( 134 - 24 - 10)

x = x x 100

x = 1300 : 100

x = 13