Rút gọn hai biểu thức sau:
a) 5.7^12
7^10.5^10
b) 5^8.7^12-5^9.7^11
7^11.5^10+7^12.5^11
Những câu hỏi liên quan
rút gọn:\(\frac{5^{11}.7^{12}+5^{11}-7^{10}}{5^{12}.7^{12}+9.5^{11}.7^{11}}\)
\(\frac{5^{11}.7^{12}+5^{11}.7^{10}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}7^{10}\left(7^2+1\right)}{5^{11}7^{11}\left(5.7+9\right)}=\frac{50}{7.44}=\frac{25}{154}\)
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a) 3^10 . (-5)^21 / (-5)^20 . 3^12
b) -11^5 . 13^7 / 11^5 . 13^8
c) 2^10 . 3^10 - 2^10 . 3^9 / 2^9 . 3^10
d) 5^11. 7^12 + 5^11 . 7^11/5^12 . 7^12 + 9 . 5^11 . 7^11
giúp em với ạ!! Đề bài là rút gọn ạ
Rút gọn:
a) 2^12.3^5-4^6.3^6/2^12+9^3+8^4.3^5
B) 49^6.5-7^11/(-7)^10.5-2.49^5
Câu 1 xem kỉ đề
\(B,\frac{49^6.5-7^{11}}{\left(-7\right)^{10}.5-2.49^5}=\frac{7^{12}.5-7^{11}}{7^{10}.5-2.7^{10}}=\frac{7^{11}.\left(7.5-1\right)}{7^{10}.\left(5-2\right)}=\frac{7.34}{3}=\frac{238}{3}\)
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a) A=212.35-\(\frac{2^{12}.3^6}{2^{12}}\)+93+84.35
=212.35-36+36+212.35
=213.35
b)B=496.5-5.\(\frac{7^{11}}{\left(-7\right)^{10}}-2.49^5\)
=496.5-7.5-2.495
=712.5-7.5-2.710
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Rút gọn phân số : a) (-14).15\21.(-10) b) (-7).12/(-16).(-14) c) (-11).(-5)/15.22 d) (-10).(-18)/(-6).25.7 e) 5.7-7.9/7.2+6.7 f) 11.9-22.3/33.2
`a) ((-14).15)/(21.(-10))`
`=(-7.3.5.3)/(7.3.(-2).5)`
`=3/2`
`b) ((-7).12)/((-16).(-14))`
`=(-7.3.2.2)/(-2.2.2.(-7).2)`
`=(-3)/4`
`c) ((-11).(-5))/(15.22) `
`=(-11.(-5))/(3.5.11.2)`
`=1/6`
`d) ((-10).(-18))/((-6).25.7)`
`=(-5.2.-2.3.3)/(-2.3.5.5.7)`
`=6/35`
`e) (5.7-7.9)/(7.2+6.7)`
`=(7.(5-9))/(7.(2+6))`
`=-4/8`
`=-1/2`
`f) (11.9-22.3)/(33.2)`
`=(33.(3-2))/(33.2)`
`=1/2`
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Bình luận (9)
a)(−14).1521.(−10)�)(-14).1521.(-10)
=−7.3.5.37.3.(−2).5=-7.3.5.37.3.(-2).5
=32=32
b)(−7).12(−16).(−14)�)(-7).12(-16).(-14)
=−7.3.2.2−2.2.2.(−7).2=-7.3.2.2-2.2.2.(-7).2
=−34=-34
c)(−11).(−5)15.22�)(-11).(-5)15.22
=−11.(−5)3.5.11.2=-11.(-5)3.5.11.2
=16=16
d)(−10).(−18)(−6).25.7�)(-10).(-18)(-6).25.7
=−5.2.−2.3.3−2.3.5.5.7=-5.2.-2.3.3-2.3.5.5.7
=635=635
e)5.7−7.97.2+6.7�)5.7-7.97.2+6.7
=7.(5−9)7.(2+6)=7.(5-9)7.(2+6)
=−48=-48
=−12=-12
f)11.9−22.333.2�)11.9-22.333.2
=33.(3−2)33.2=33.(3-2)33.2
=12
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rút gọn biểu thức chứa căn số học
a)-√20+3√45-6√80-1/5√125
b)2√3-√75+2√12-√147
c)3/2√12+7/5√75-9/10√300+11/6√108
\(a,=-2\sqrt{5}+9\sqrt{5}-24\sqrt{5}-\sqrt{5}=-18\sqrt{5}\)
\(b,=2\sqrt{3}-5\sqrt{3}+4\sqrt{3}-7\sqrt{3}=-6\sqrt{3}\)
\(c,=3\sqrt{3}+7\sqrt{3}-9\sqrt{3}+11\sqrt{3}=12\sqrt{3}\)
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a) Ta có: \(-\sqrt{20}+3\sqrt{45}-6\sqrt{80}-\dfrac{1}{5}\sqrt{125}\)
\(=-2\sqrt{5}+9\sqrt{5}-24\sqrt{5}-\dfrac{1}{5}\cdot5\sqrt{5}\)
\(=-17\sqrt{5}-\sqrt{5}=-18\sqrt{5}\)
b) Ta có: \(2\sqrt{3}-\sqrt{75}+2\sqrt{12}-\sqrt{147}\)
\(=2\sqrt{3}-5\sqrt{3}+4\sqrt{3}-7\sqrt{3}\)
\(=-6\sqrt{3}\)
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rút gọn
\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}\)
\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}\)
=\(\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}\)
= \(\frac{8}{35+9}\)
= \(\frac{8}{44}\)
= \(\frac{2}{11}\)
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Rút gọn : a, 3 mũ 10 . -5 mũ 21 / -5 mũ 20. 3 mũ 12
b, -11 mũ 5 . 13 mũ 7 / 11 mũ 5 . 13 mũ 8
c, 2 mũ 10 . 3 mũ 10 - 2 mũ 10 . 3 mũ 9 / 2 mũ 9 . 3 mũ 10
d, 5 mũ 11 .7 mũ 12 + 5 mũ 11 . 7 mũ 11 / 5 mũ 12 . 7 mũ 12 + 9 . 5 mũ 11 . 7 mũ 11
a)\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{-5}{9}\)
b)\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=-\frac{1}{13}\)
c)\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^{10}}=2\)
d(\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(35+9\right)}=\frac{1}{6}\)
mấy bạn tính nhanh cho mình câu này với
5 mũ 5 : 5 mũ 3 - 5
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Rút gọn p/s : 510 . 712 + 510 . 7 11/ 512 . 711 + 9 . 54 . 711
\(\frac{5^{10}.7^{12}+5^{10}.7^{11}}{5^{12}.7^{11}+9.5^4.7^{11}}=\frac{5^{10}.7^{11}.\left(7+1\right)}{7^{11}.5^4\left(5^8+9\right)}=\frac{8.5^6}{\left(9+5^8\right)}=\frac{125000}{390634}=\frac{62500}{195317}\)
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Rút gọn:
\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}\)
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