The algorithm for the multiplication of rational numbers is

The algorithm for the multiplication of rational numbers is

The power of X is equal to the multiplication of N X

The rule of rational number multiplication

Multiply with base, add exponentially
Divide the same low and subtract the index

Rational power How to judge the sign? For example, how to get the second power of - 5 and the second power of (- 5)

Children, you should firmly remember the order of operations
First, multiplication, then addition and subtraction
For - 5 ^ 2, it's a power operation. 5 ^ 2 gets 25, and then it's preceded by a negative sign~
For (- 5) ^ 2, the first is the multiplication operation, (- 5) * (- 5) gets 25. The front of (- 5) ^ 2 is omitted, that is, the positive sign. For simplicity, you can continue to omit

If * is a new operation symbol and a * b = B / A + B, the value of [2 * (- 2)] * (- 2) can be obtained

[2 * (- 2)] * (- 2) = - 2 / 2-2 * (- 2) = - 3 * (- 2) = - 2 / - 3-2 = 2 / 3-2 = - 1 1 / 3 negative one and one third

A * b = 1 / 3 A-1 / 4 B is defined as the operation process of the new operation symbol * Solving equation 2 * (2 * x) = 1 * x

It is known that a * b = 1 / 3 A-1 / 4 B
So (2 * x) = 2 / 3-1 / 4x, 1 * x = 1 / 3-1 / 4x
2*(2*x)=2/3-1/4（2/3-1/4x）
2/3-1/4（2/3-1/4x）=1/3-1/4x
2/3-1/6+1/16x=1/3-1/4x
x=-8/15

It is specified that △ is an operation symbol and a △ B = (B-A). Try to calculate the value of 4 △ (2 △ 3)

a△b=b-a
Then 2 △ 3 is a = 2, B = 3
SO 2 △ 3 = 3-2 = 1
So 4 △ (2 △ 3) = 4 △ 1
This is a = 4, B = 1
So 4 △ (2 △ 3) = 1-4 = - 3

If "*" is a new operation symbol, and a * b = (a + b) / B is specified, then 2 * (- 2) =?

According to the operation rules: a * b = (a + b) / b
2×（-2）=[2+(-2)]/(-2)=0/(-2)=0

We stipulate that "!" is an operational symbol, And 1! = 1, = 2 × 1, = 3 * 2 * 1, = 4 * 3 * 2 * 1 Please calculate - 50! / 48! × (1-1 / 100) (1-1 / 99) (1-1 / 98) × The value of × (1-1 / 3)

-50!/48!×（1-1/100）(1-1/99)(1-1/98)×… ×(1-1/3)=50X49X48!/48!X99/100X98/99X97/98X96/97...2/3
=50X49X2/100
=49

The operation process of the new operation symbol * is specified as follows: A * b = one third (a-b) - one fourth (B-A). Find the value of 5 * (- 5). Solve the equation 8 times (2 * x) + 3 * X

1. 35 / 6 substitute a = 5 B = - 5
2. After substitution, it is reduced to 133 / 12-21x / 4

If the operation symbol "*" = a × B of A-B, then 2 "*" (- 3) =? If the operation symbol * = a × B of A-B, then 2 * (- 3) =??? In a hurry

This kind of question only needs to use the substitution method to do
a=2,b=-3
2 * (- 3) = 2 times (- 3) / [2 - (- 3)] = - 6 / 5