Thực hiện phép tính :
a) \(\left(7.3^5-3^4+3^6\right):3^4\)
b) \(\left(16^3-64^2\right):8^3\)
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`1//([-1]/2)^2 . |+8|-(-1/2)^3:|-1/16|=1/4 .8+1/8 .16=2+2=4`
`2//|-0,25|-(-3/2)^2:1/4+3/4 .2017^0=0,25-2,25.4+0,75.1=0,25-9+0,75=-8,75+0,75-8`
`3//|2/3-5/6|.(3,6:2 2/5)^3=|-1/6|.(3/2)^3=1/6 . 27/8=9/16`
`4//|(-0,5)^2+7/2|.10-(29/30-7/15):(-2017/2018)^0=|1/4+7/2|.10-1/2:1=|15/4|.10-1/2=15/4 .10-1/2=75/2-1/2=37`
`5// 8/3+(3-1/2)^2-|[-7]/3|=8/3+(5/2)^2-7/3=8/3+25/4-7/3=107/12-7/3=79/12`
a: \(2^2\cdot5-\dfrac{\left(1^{10}+8\right)}{3^2}\)
\(=4\cdot5-\dfrac{1+8}{3}\)
=20-3
=17
b: \(5^8:5^6+4\left(3^2-1\right)\)
\(=5^2+4\left(9-1\right)\)
=25+4*8
=25+32
=57
c: \(400-\left\{36-20:\left[3^3-\left(8-3\right)\right]\right\}\)
\(=400-36+20:\left[27-5\right]\)
\(=364+\dfrac{20}{22}\)
\(=364+\dfrac{10}{11}=\dfrac{4014}{11}\)
A) 2².5 - (1¹⁰ + 8) : 3²
= 4.5 - (1 + 8) : 9
= 20 - 9 : 9
= 20 - 1
= 19
B) 5⁸ : 5⁶ + 4.(3² - 1)
= 5² + 4.(9 - 1)
= 25 + 4.8
= 25 + 32
= 57
C) 400 - {36 - 20 : [3³ - (8 - 3)]}
= 400 - [36 - 20 : (27 - 5)]
= 400 -(36 - 20 : 22)
= 400 - (36 - 10/11)
= 400 - 386/11
= 4014/11
a)(7.3^5-3^4+3^6):3^4 (7.(3^5=243)-(3^4=81)+(3^6=729)):(3^4=81)=29
b)(16^3-64^2):8^2 ((16^3=4096)-(64^2=4096)):(8^2=64)=0
c)(3x^2y^2+6y^2):3y lấy 3x^2y^2:3y=x^2y rồi lấy 6y^2:3y=2y cộng 2 kết quả lạ
a)(7.243-81+729):81=29
b)(4096-4096):64=0
c)(9x^2.3x^2y+36y^2):3y=3x^2y+12y
\(A=\left(7-\dfrac{3}{4}+\dfrac{1}{3}\right)-\left(6+\dfrac{5}{4}-\dfrac{4}{3}\right)-\left(5-\dfrac{7}{4}+\dfrac{5}{3}\right)\)
\(\Rightarrow A=7-\dfrac{3}{4}+\dfrac{1}{3}-6-\dfrac{5}{4}+\dfrac{4}{3}-5+\dfrac{7}{4}-\dfrac{5}{3}\)
\(\Rightarrow A=\left(7-6-5\right)-\dfrac{3}{4}-\dfrac{5}{4}+\dfrac{7}{4}+\dfrac{1}{3}+\dfrac{4}{3}-\dfrac{5}{3}\)
\(\Rightarrow A=-4-\dfrac{1}{4}+0\)
\(\Rightarrow A=-\dfrac{17}{4}\)
Cách 2 tính trong dấu ngoặc đơn của A, bạn tự tính nhé.
\(A=\dfrac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\dfrac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
\(=\dfrac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6+2^{12}.3^5}-\dfrac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3+5^9.2^3.7^3}\)
\(=\dfrac{2^{12}.3^4.\left(3-1\right)}{2^{12}.3^5.\left(3+1\right)}-\dfrac{5^{10}.7^3.\left(1-7\right)}{5^9.7^3.\left(1+2^3\right)}\)
\(=\dfrac{2^{12}.3^4.2}{2^{12}.3^5.4}-\dfrac{5^{10}.7^3.\left(-6\right)}{5^9.7^3.9}\)
\(=\dfrac{1}{6}-\dfrac{-10}{3}\)
\(=\dfrac{7}{2}\)
Bài 44: (SBT/12):
a. (7.35 - 34 + 36) : 34
= (7.35 : 34) + (-34 : 34) + (36 : 34)
= 7 . 3 - 1 + 32
= 21 - 1 + 9
= 29
b. (163 - 642) : 83
= [(2.8)3 - (82)2 ] : 83
= (23 . 83 - 84) : 83
= ( 23 . 83 : 83) + (-84 : 83)
= 23 - 8
= 8 - 8
= 0
a) \(\left(7.3^5-3^4+3^6\right):3^4\)
\(=7.3^5:3^4-3^4:3^4+3^6:3^4\)
\(=7.3^{5-4}-3^{4-4}+3^{6-4}\)
\(=7.3^1-3^0+3^2\)
\(=7.3-1+9\)
\(=21-1+9\)
\(=20+9\)
\(=29\)
b) \(\left(16^3-64^2\right):8^3\)
\(=\left[\left(2^4\right)^3-\left(2^6\right)^2\right]:\left(2^3\right)^3\)
\(=\left(2^{4.3}-2^{6.3}\right):2^{3.3}\)
\(=\left(2^{12}-2^{12}\right):2^9\)
\(=2^{12-9}-2^{12-9}\)
\(=2^3-2^3\)
\(=8-8\)
\(=0\)