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Freshman Mathematics Problems and Answers
Answer? +(m+ 1/2)a+m/2; Excluding item a, m=- 1/2.

3x9 m power x27 m power =3 2 1 power because 9 = 3 2 27 = 3 3, we can see that:

The m power of 3x9 x27 = 3x32m x33m = 3 (1+2m+3m) = 321so: 2 1= 1+2m+3m.

m=4

Let the original side length of a square lawn be a, then the area is equal to A2.

When the square lawn is increased by 3m in the north-south direction and shortened by 3m in the east-west direction, the side length is a+3, a-3,

The area is A2-9.

So it's reduced by 9 m2.

3^555=(3^5)^ 1 1 1=243^ 1 1 1

4^444=(4^4)^ 1 1 1=256^ 1 1 1

5^333=(5^3)^ 1 1 1= 125^ 1 1 1

256 >243 > 125

∴256^ 1 1 1>; 243^ 1 1 1>; 125^ 1 1 1

Therefore 4 444 > 3 555 >: 5^333

According to the meaning of the question, the power of 20 1 1 of 8 is positive, and the power of 20 12 of (-0. 125) is also positive, so the original result is positive;

And 8*0. 125= 1, so the power of 20 1 1 in the original formula =(8*-0. 125 =- 1 multiplied by (-0.65438

That is, the result is 0. 125.

Figure A: The area of a large rectangle can be expressed as:

①(a-b)(a+b);

②a(a-b)+b(a-b)= a2-a b+a b-B2 = a2-B2;

Therefore, (a-b) (a+b) = A2-B2;

Figure B: The area of a big square can be expressed as:

①a(a-b+b)= a2;

②a(a-b)+b(a-b)+B2 =(a+b)(a-b)+B2;

So a2=b2+(a+b)(a-b), which means A2-B2 = (a+b) (a-b).

Therefore, according to the area relation of two graphs, we can get the formula A2-B2 = (a+b) (a-b).