K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

21 tháng 7 2018

\(A=\frac{14^{16}-21^{32}.35^{68}}{10^{16}.15^2.7^{96}}=\frac{2^{16}.7^{16}-3^{32}.7^{32}.7^{68}.5^{68}}{5^{16}.2^{16}.3^2.5^2.7^{96}}\)

\(A=\frac{2^{16}.7^{16}-3^{32}.7^{100}.5^{68}}{5^{18}.2^{16}.3^2.7^{96}}=\frac{7^{16}.\left(2^{16}-3^{32}.7^{84}.5^{68}\right)}{5^{18}.2^{16}.3^2.7^{96}}=\frac{2^{16}-3^{32}.7^{84}.5^{68}}{5^{18}.2^{16}.3^2.7^{88}}\)

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

\(B=\frac{2^{20}}{3^{20}}\)

Giúp mk nha , mk cần gấp lắm

11 tháng 12 2022

\(=\dfrac{7^{16}\cdot2^{16}\cdot7^{32}\cdot3^{32}\cdot7^{48}\cdot5^{48}}{5^{16}\cdot2^{16}\cdot5^{32}\cdot3^{32}\cdot7^{96}}\)

\(=\dfrac{7^{96}\cdot2^{16}\cdot3^{32}\cdot5^{48}}{7^{96}\cdot2^{48}\cdot5^{48}}=\dfrac{3^{32}}{2^{32}}=1.5^{32}\)

17 tháng 5 2017

18/24=3/4

15/35=3/7

40/56=5/7

96/36=16/6

ps 8/10=ps:4/5 và 32/40

k mik nha!^^^^^^^

17 tháng 5 2017

\(\frac{18}{24}=\frac{3}{4}\)

\(\frac{15}{35}=\frac{3}{7}\)

\(\frac{40}{56}=\frac{5}{7}\)

\(\frac{96}{36}=\frac{8}{3}\)

Phân số bằng \(\frac{8}{10}\) là:

\(\frac{12}{15};\frac{4}{5};\frac{32}{40}\)

6 tháng 10 2018

\(\dfrac{14^{16}}{21^{32}}.\dfrac{35^{48}}{10^{16}}.\dfrac{15^{32}}{7^{96}}\)=\(\dfrac{\left(2.7\right)^{16}.\left(5.7\right)^{48}.\left(3.5\right)^{32}}{\left(3.7\right)^{32}.\left(2.5\right)^{16}.7^{96}}\)=\(\dfrac{2^{16}.7^{16}.5^{48}.7^{48}.3^{32}.5^{32}}{3^{32}.7^{32}.2^{16}.5^{16}.7^{96}}\)

=\(\dfrac{2^{16}.3^{32}.5^{80}.7^{64}}{2^{16}.3^{32}.5^{16}.7^{128}}=\dfrac{5^{64}}{7^{64}}\)

31 tháng 7 2016

A=\(\frac{14^{16}.21^{32}.35^{48}}{10^{16}.15^{32}.7^{96}}\)\(\frac{\left(2.7\right)^{16}.\left(3.7\right)^{32}.\left(5.7\right)^{48}}{\left(2.5\right)^{16}.\left(3.5\right)^{32}.7^{96}}\)\(\frac{2^{16}.7^{16}.3^{32}.7^{32}.5^{48}.7^{48}}{2^{16}.5^{16}.3^{32}.5^{32}.7^{96}}\)\(\frac{2^{16}.7^{96}.3^{32}.5^{48}}{2^{16}.5^{48}.3^{32}.7^{96}}\)=1

21 tháng 6 2015

\(\frac{14^{16}.21^{32}.35^{48}}{10^{16}.15^{32}.7^{96}}=\frac{2^{16}.7^{16}.3^{32}.7^{32}.5^{48}.7^{48}}{2^{16}.5^{16}.3^{32}.5^{32}.7^{96}}\)

\(=\frac{2^{16}.\left(7^{16}.7^{32}.7^{48}\right).5^{48}.3^{32}}{2^{16}\left(5^{16}.5^{32}\right).3^{32}.7^{96}}=\frac{2^{16}.7^{96}.5^{48}.3^{32}}{2^{16}.5^{48}.3^{32}.7^{96}}\)=1

29 tháng 6 2017

a) \(\dfrac{15^{30}}{45^{15}}=\dfrac{15^{30}}{3^{15}.15^{15}}=\dfrac{15^{15}}{3^{15}}=5^{15}\)

b) \(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{8^5.3^8}{2^6.3^6.8^3}=\dfrac{8^2.3^2}{2^6}=\dfrac{2^6.3^2}{2^6}=3^2=9\)

c) \(\dfrac{14^{10}.21^{32}.35^{48}}{10^{10}.15^{32}.7^{96}}=\dfrac{2^{10}.7^{10}.3^{32}.7^{32}.5^{48}.7^{48}}{2^{10}.5^{10}.3^{32}.5^{32}.7^{96}}\)

= \(\dfrac{2^{10}.7^{58}.3^{32}.5^{48}}{2^{10}.5^{42}.3^{32}.7^{96}}=\dfrac{5^6}{7^{38}}\) ( Câu này làm bừa, có lẽ sai đấy :)) )

2. So sánh

a) 3200 = 9100

2300 = 8100

Vì 9100 > 8100 nên 3200 < 2300

b) 912 = 7294

268 = 6764

Vì 7294 > 6764 nên 912 > 268

c) 224 = 88

316 = 98

Vì 88 < 98 nên 224 < 316