Given that 12 ^ x = 3.12 ^ y = 2, then the value of 8 ^ ((1-2y) / (1-x + y)) is?

12 ^ x = 3 ①, 12 ^ y = 2 ②. ① * ② = 12 ^ (x + 2Y) = 2 * 2 * 3 = 12, so x + 2Y = 1, so the original formula is equal to (1-2y) / 3Y of 8. Because ②, so 3Y of 12 is 8, 12 is equal to 1 / 3Y of 8, so the original formula is 1-2y of 8. Because ②, so 2Y of 12 is 4, because 1 of 12 is 12, so 1-2y of 12 is 12 / 4 = 3

Given (x + y + 1) (x + y + 3) = 8, what is the value of X + y?

Let a = x & sup2; + Y & sup2;
(a+1)(a+3)=8
a²+4a-5=0
(a+5)(a-1)=0
a=x²+y²≥0
So a = 1
That is X & sup2; + Y & sup2; = 1

Given 12 ^ x = 3, 12 ^ y = 2, find the value of 8 ^ 1 / (1-x + y)

x=log(12)3,y=log(12)2
Original formula = 8 ^ 1 / (log (12) 12-log (12) 3 + log (12) 2 = 8 ^ log (8) 12 = 12

Factorization of quadratic trinomial test
1.6x^3 - 4x^2 - x
2.a^2 - 2ab + b^2 - a + b -2

The decomposition of rational numbers is x (6x ^ 2-4x-1),
Decomposition of 6x (x - (2 + √ 10) / 6) (x - (2 - √ 10) / 6) in the range of irrational numbers
√ represents the root

How many days will it take from 2012's national day to next year's National Day

A whole year, then February 2013 is 28 days, so after 365 days

Seventh grade math problems (may be easy for you)
Calculation questions: (specific steps should be listed)
（1）（-1）+2+（-3）+4+… +（-99）+100
（2）1-2+3-4+5-6+… +99-100
（3）2+（-4）+4+（-6）+6+（-8）+… +18+（-20）
Practical questions:
1. When a shopping mall holds a sales promotion, it adopts the way of "20 yuan for 100 yuan, and a series of free gifts". That is, for every 100 yuan spent by customers (100 yuan can be cash, lottery, or a total of 100 yuan), 20 yuan lottery will be given. For 200 yuan, 40 yuan lottery will be given. By analogy, if a customer spends 14000 yuan at a time, how much money can he buy? How much discount is equivalent to sales?
2. Is the following statement correct? Please correct the mistake
(1) All rational numbers can be represented by points on the number axis;
(2) Two rational numbers with different symbols are opposite to each other;
(3) Rational numbers are divided into positive numbers and negative numbers;
(4) The sum of two numbers must be greater than any one;
(5) If two numbers are subtracted, the difference must be less than the subtracted
3. Write the numbers that meet the following conditions
(1) The smallest positive integer;
(2) The largest negative integer;
(3) All integers greater than - 3 and less than 2;
(4) The rational number with the smallest absolute value;
(5) All negative integers with absolute values greater than 2 and less than 5;
(6) On the number axis, all numbers whose distance from the point representing - 1 is 2

(1) Add two to two, 50 ones, the result is 50
(2) Add them together, 50 - 1s, so the answer is - 50
(3) All the middle ones cancel out, and the result is 2-20 = - 18
Practical questions:
1. The number of lottery tickets for 14000 is 2800. You can get 560 lottery tickets when you buy things with these lottery tickets, you can get 100 lottery tickets when you buy things with 560 lottery tickets, and you can get 20 yuan lottery tickets when you buy things with 100 lottery tickets. So the value of things you can buy is 14000 + 2800 + 560 + 100 + 20 = 17480,
14000/17480=0.800915.
20% off sales

The National Day in 2001 is Monday. What day is the opening day of the 2008 Olympic Games?

365 × 7 + 1 = 2556 [the difference is seven years, the difference is 366 days in 2004, so add 1 to get the difference days to October 1] 2556-30-31 + 8 = 2503 [minus the days in September and August, plus 8 is the total difference days from national day to August 8 in 2001] 2503 △ 7 = 357... 4 [divide by 7 to calculate a few weeks of business trip, the remaining four days] 4 + 1 = 5 [because on National Day

Circle area letter formula
.

s=3.14*(R*R-r*r)

What time of two times what time of two equals seven?
2.()X2.()=7

2.5 X 2.8=7

=
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1*2*3*4*.*n
n!=1*2*3*...*n
n1!=n*(n-1)*(n-2)*(n-3).3*2*1

Given that 12 ^ x = 3.12 ^ y = 2, then the value of 8 ^ ((1-2y) / (1-x + y)) is?