\(-2^{-2}\)

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5 tháng 11 2020
\(-2^{-2}=-\frac{1}{2^2}=-\frac{1}{4}\)
29 tháng 9 2018

((3\(^2\)))\(^2\) - ((-5\(^2\)))\(^2\) + ((-2\(^3\)))\(^2\)

= 81 - 625 + 64

= -544+ 64

= -480

2\(^4\) + 8[(-2)\(^2\) :\(\dfrac{1}{2}\)]\(^0\) - 2\(^{-2}\). 4 + (-2)\(^2\)

= 16+ 8.1 - \(\dfrac{1}{4}\). 4 + 4

= 16+ 8- 1+4

= 27

2\(^4\) + 3(\(\dfrac{1}{2}\))\(^0\) + 2\(^{-2}\).8 + [(-2)\(^3\). \(\dfrac{1}{2^4}\)].2 - \(\dfrac{1}{2}\)

= 16 + 3.1 +\(\dfrac{1}{4}\).8 + [(-8).\(\dfrac{1}{16}\)].2 -\(\dfrac{1}{2}\)

= 16 + 3+ 2 + \(\dfrac{-1}{2}\).2- \(\dfrac{1}{2}\)

= 21 + (-1)- \(\dfrac{1}{2}\)

= 20-\(\dfrac{1}{2}\) = \(\dfrac{40}{2}\) - \(\dfrac{1}{2}\)= \(\dfrac{39}{2}\)

\(\dfrac{15^{10}.5^{10}}{75^{10}}\) + \(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)

= \(\dfrac{\left(15.5\right)^{10}}{75^{10}}\) + \(\dfrac{\left(0,4.2\right)^5}{\left(0.4\right)^6}\)

= \(\dfrac{75^{10}}{75^{10}}\) + \(\dfrac{\left(0,4\right)^5.2^5}{\left(0,4\right)^6}\)

= 1 + \(\dfrac{2^5}{0,4}\) = 1+ 80 = 81

\(\dfrac{2^{13}.9^4}{6^3.8^3}\)

= \(\dfrac{2^{13}.\left(3^2\right)^4}{\left(2.3\right)^3.\left(2^3\right)^3}\) = \(\dfrac{2^{13}.3^8}{2^3.3^3.2^9}\)

= \(\dfrac{2^4.3^5}{2^3}\) = 2.3\(^5\) = 486

25 tháng 7 2017

help me, please

a: \(A=\dfrac{\dfrac{3}{8}-\dfrac{3}{10}+\dfrac{3}{11}+\dfrac{3}{12}}{\dfrac{-5}{8}+\dfrac{5}{10}-\dfrac{5}{11}-\dfrac{5}{12}}+\dfrac{\dfrac{3}{2}+\dfrac{3}{3}-\dfrac{3}{4}}{\dfrac{5}{2}+\dfrac{5}{3}-\dfrac{5}{4}}\)

\(=\dfrac{-3}{5}+\dfrac{3}{5}=0\)

b: \(=3^4-\left(-8\right)^2-\left(-25\right)^2\)

\(=81-64-625=-608\)

c: \(=2^3+3\cdot1\cdot\dfrac{1}{4}\cdot4+\left[4:\dfrac{1}{2}\right]:8\)

\(=8+3+4\cdot2:8=11+1=12\)

28 tháng 4 2020

(-5x2y + 3xy2 + 7) + (-6x2y + 4xy2 - 5)

= -5x2y + 3xy2 + 7 - 6x2y + 4xy2 - 5

= -11x2y + 7xy2 + 2

(2,4x3 - 10x2y) + (7x2y - 2,4x3 + 3xy2)

= 2,4x3 - 10x2y + 7x2y - 2,4x3 + 3xy2

= -3x2y + 3xy2

Mình sửa lại câu cuối:

(15x2y - 7xy2 - 6y2) + (2x2 - 12x2y + 7xy2)

= 15x2y - 7xy2 - 6y2 + 2x2 - 12x2y + 7xy2

= 3x2y - 6y2 + 2x2

Chúc bn học tốt!

14 tháng 7 2017

BT1: \(\left(3^2\right)^2-\left(-2^3\right)^2-\left(-5^2\right)^2=81-64-625=-608\)

BT2: a, \(\dfrac{1}{9}.27^x=3^x\)

\(3^{3x-2}=3^x\)

\(\Rightarrow3x-2=x\Rightarrow x=\dfrac{1}{2}\)

b, \(3^{-2}.3^4.3^x=3^7\)

\(3^{2+x}=3^7\Rightarrow2+x=7\)

\(\Rightarrow x=5\)

c, \(2^{-1}.2^x+4.2^x=9.2^5\)

\(2^x\left(2^{-1}+4\right)=288\)

\(\Rightarrow2^x=288:4,5=64=2^6\)

\(\Rightarrow x=6\)

d, \(\left(2x-3\right)^2=16=4^2\)

\(\Rightarrow2x-3=4\Rightarrow x=\dfrac{7}{2}\)

e, \(\left(3x-2\right)^5=-243=-3^5\)

\(\Rightarrow3x-2=-3\Rightarrow x=\dfrac{-1}{3}.\)

14 tháng 7 2017

BT1: \(a,3^2.\dfrac{1}{243}.81^2.\dfrac{1}{33}=3^2.3^{-5}.3^8.3^{-1}\dfrac{1}{11}\)

\(=3^4.\dfrac{1}{11}=\dfrac{81}{11}\)

b, \(\left(4.5^3\right):\left(2^3.\dfrac{1}{10}\right)=100.5.\dfrac{1}{8}.10=625\)

thui tyuwj lamf ddi

8 tháng 9 2019

Bài 1:

a) \(\left(\frac{1}{2}\right)^2\)\(\left(\frac{1}{2}\right)^5\)

Ta có: \(\left(\frac{1}{2}\right)^2=\frac{1}{4}.\)

\(\left(\frac{1}{2}\right)^5=\frac{1}{32}.\)

\(\frac{1}{4}< \frac{1}{32}.\)

=> \(\left(\frac{1}{2}\right)^2< \left(\frac{1}{2}\right)^5.\)

b) \(\left(2,4\right)^3\)\(\left(2,4\right)^2\)

Ta có: \(\left(2,4\right)^3=13,824.\)

\(\left(2,4\right)^2=5,76.\)

\(13,284>5,76.\)

=> \(\left(2,4\right)^3>\left(2,4\right)^2.\)

c) \(\left(-1\frac{1}{2}\right)^2\)\(\left(-1\frac{1}{2}\right)^3\)

Ta có: \(\left(-1\frac{1}{2}\right)^2=\left(-\frac{3}{2}\right)^2=\frac{9}{4}.\)

\(\left(-1\frac{1}{2}\right)^3=\left(-\frac{3}{2}\right)^3=-\frac{27}{8}.\)

Vì số dương luôn lớn hơn số âm nên \(\frac{9}{4}>-\frac{27}{8}.\)

=> \(\left(-1\frac{1}{2}\right)^2>\left(-1\frac{1}{2}\right)^3.\)

Chúc bạn học tốt!

Bài 1 :

a) \(-3+\left(-4\right)-\left(-3\right)+\left(2+7-10\right)=-3-4+3+2+7-10=-5\)

b) \(3-\left(-3+2-7\right)+\left(-4\right)=3+3-2+7-4=7\)

c) \(7+\left(-2-3+7\right)-\left(-2\right)=7-2-3+7+2=17\)

d) \(-\left(-3\right)-\left(-2+3-8\right)+\left(-6\right)=3+2-3+8-6=4\)

Bài 2 :

a) \(x^2-2x-\left(3x-2x\right)=x^2-2x-3x+2x=x^2-3x\)

b) \(-\left(x^2+3x^2\right)-\left(-5x^2+3x\right)=-x^2-3x^2+5x^2-3x=x^2-3x\)

c) \(\left(x-y\right)-\left(x+3y+1\right)=x-y-x-3y-1=-4y-1\)

23 tháng 6 2019

Bài 1:

a, -3+ (-4) - (-3) + (2 + 7 - 10)

= -3 - 4 + 3 + 2 + 7 - 10

= 5 - 10

= -5.

b, 3 - (-3 + 2 - 7) + (-4)

= 3 + 3 - 2 + 7 - 4

= 11 - 4

= 7

c, 7 + (-2 - 3 + 7) - (-2)

= 7 - 2 - 3 + 7 + 2

= 9 + 2

= 11.

d, - (-3) - (-2 + 3 - 8) + (-6)

= 3 + 2 - 3 + 8 - 6

= 10 - 6

= 4.

Mình chỉ làm bài 1 thôi nhé.

Chúc bạn học tốt!

17 tháng 8 2018

a,(=)\(3^{x+1}.\left(3+4\right)=7.3^6\)

(=)\(3^{x+1}=3^6\)

=>x+1=6(=)x=5

b

a, 24-x=32=25

=> 4-x=5

<=> x=-1

b, (x+1,5)2+(y-2,5)10=0

Vì (x+1,5)2\(\ge\)0,   (y-2,5)10\(\ge\)0

\(\Rightarrow\hept{\begin{cases}x+1,5=0\\y-2,5=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=-1,5\\y=2,5\end{cases}}}\)

5 tháng 7 2019

a)\(2^{4-x}\)=32

=>\(2^{4-x}\)=32=\(2^5\)

=>4-x=5

=>x=4-5=-1

=>x=-1

23 tháng 5 2020

Bài 1:

\(A=\left(x^3.x^3.x^2\right).\left(y.y^4\right).\left(\frac{2}{5}.\frac{-5}{4}\right)\)

\(A=x^8.y^5.\left(-\frac{1}{2}\right)\)

\(B=\left(x^5.x.x^2\right).\left(y^4.y^2.y\right).\left(\frac{-3}{4}.\frac{-8}{9}\right)\)

\(B=x^8.y^7.\frac{2}{3}\)

Bài 2:

\(A=\left(15.x^2.y^3-12.x^2.y^3\right)+\left(11x^3.y^2-8.x^3.y^2\right)+\left(7x^2-12x^2\right)\)

\(A=3.x^2.y^3+2.x^3.y^2-5x^2\)

B tương tự nhé, đáp án là (theo mình)

\(B=\frac{5}{2}.x^5.y+\frac{7}{3}.x.y^4-\frac{1}{4}.x^2.y^3\)