Given that n is a positive integer and the nth power of (the 2nd power of x) is 9, find the 2nth power of the 2nd power of (- 1 / 3 times the 3nth power of x) - 3 (- the 2nd power of x)

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• 1. The number of digits of the nth power of a positive integer The number of digits of positive integer power is regular. When the number of digits of positive integer a is 0,1,5,6, the number of digits of a ^ n is still 0,1,5,6; when the number of occurrences of a is 4,9, the number of digits of power will appear repeatedly every time the exponent of a increases by 2; when the number of digits of a is 2,3,7,8, the number of digits of power will appear repeatedly every time the exponent increases by 4 If the single digit of a ^ k is a, then the last digit of a ^ 4m + k is also a (k is a positive integer, M is a non negative integer) Example 1 find the number of 2003 ^ 2005 2003^2005=2003^4×501+1. Because the single digit of 2003 ^ 1 is the same as that of 3 ^ 1, the single digit of 2003 ^ 2005 is 3 Example 2 find the integer x satisfying the equation x ^ 5 = 656356768 ∵ 10 ^ 5 is 6 digits. 100 ^ 5 = 10 ^ 10 is 11 digits Because x ^ 5 is 9 digits. So 10
• 2. How many positive integers is it to find the 12 power of n = 2 multiplied by the 8 power of 5?
• 3. Fill in the blanks with the code: the coefficients of each item in the expansion of the nth power of (a + b) are very regular. These coefficients form the famous Yang Hui triangle The following program gives the calculation method of the nth coefficient of the m-th layer, try to perfect it (m, n are calculated from 0) \x05public static int f(int m,int n) \x05{ \x05\x05if(m==0) return 1; \x05\x05if(n==0 || n==m) return 1; \x05\x05return __________________________ ;
• 4. Stipulation: 0.1 = 1 / 10 = 10 to the - 1st power, 0.01 = 1 / 100 = 10 to the - 2nd power, can 0.000001768 be expressed as a times 10 to the n power?
• 5. How to read numbers in English 801702 is read as: eight hundred and one thousand, seven hundred and two?
• 6. How to read some English numbers ten thousand 100000 one hundred and fifty thousand Two hundred thousand three hundred and fifty thousand How to read it in English
• 7. How to read English numbers How to read 17600 and 17060? Should we add and between 7 and 6?
• 8. How to read numbers in English 325500470 is read as: three hundred and twenty five, five hundred and four hundred and seven or three hundred and twenty five, five hundred, four hundred and seven
• 9. Let f (x) = cosx be expanded into a power series of X + π / 6,
• 10. The function f (x) = 1 / (x2-x-6) is expanded into a power series of X
• 11. The nth power of 2.8 * the nth power of 16 = the 22nd power of 2 to find the value of positive integer n
• 12. Let n be a positive integer and n ^ 2 + 1085 be a positive integer power of 3
• 13. Comparison: SN = 1 / 2 + 2 / 4 + 3 / 8 + 4 / 16 +The power of N / 2 (n is a positive integer) and the size of 2
• 14. Compare Sn = 12 + 24 + 38 + 416 + +N2n (n is any natural number) and the size of 2______ ．
• 15. Comparison: SN = 1 / 2 + 2 / 4 + 3 / 8 + 4 / 16 +The nth power of N / 2 (n is a positive integer) is clearly related to the size of 2 I don't understand every step, especially subtraction
• 16. The first n terms of sequence {an} and the n-th power of Sn = a (a is a nonzero constant) are known Then [an] is the sequence of equal ratio; it is the sequence of equal difference; it may be equal difference or equal ratio,
• 17. When the odd number term of a sequence is 0, the even number term is infinitely close to 0. Is it infinitely close to 0? {1 + (- 1) nth power / 2 * 1 / N}, divergence? Convergence
• 18. What is the sum of all terms of n-1 power of finite sequence 1,1 + 2,1 + 2 + 4.1 + 2 + 4 +... + 2?
• 19. Finding the sum of the first n terms of the sequence {(n + 1) / 2}
• 20. Find the square of sequence 1, negative 2, negative 4 N of (negative 1) minus the square of 1 power n What's the difference Find the square of sequence 1, negative 2, negative 4 N of (negative 1) minus the square of 1 power n And. Urgent