If x ^ n = 2, y ^ n = 3, find the value of (x ^ 2Y) ^ 2n
Original formula = x ^ 4ny ^ 2n
=(x^n)^4(y^n)^2
=2^4×3^2
=144
RELATED INFORMATIONS
- 1. In sequence an, A1 = 1 / 4, when n > = 2, there is (3N ^ 2-2n-1) an = a1 + A2 + a3 +. + a (n-1) (1) . find an (2) . find the first n terms and Sn
- 2. Given a + B = 3, ab = 1, then the value of AB + Ba is equal to______ .
- 3. [8 / 15 minus (7 / 12 minus 2 / 5)] × 15 / 14 If it's good, there's a reward for wealth I also want
- 4. If you add 100 to a positive integer, it is a perfect square number. If you add 168, it is another perfect square number Who can know the answer, please write down the process
- 5. If x ^ n = 2, y ^ n = 3, (x ^ 2Y ^ 3) ^ n=
- 6. Let {an} satisfy a1 + 3a2 + 3 & # 178; A3 +... + 3 ^ (n-1) an = n / 3, n ∈ n + * (1) find the general term of {an}; (1) Find the general term of the sequence {an}; (2) let BN = n / an, find the first n term and Sn of the sequence {BN} a1+3a2+3^2a3+······+3^(n-1)an=n/3 a1+3a2+3^2a3+······+3^(n-2)a(n-1)=(n-1)/3 Subtraction of two formulas 3^(n-1)an=n/3-(n-1)/3 3^(n-1)an=(n-n+1)/3 3^(n-1)an=1/3 an=1/3^n bn=n/an =n/(1/3^n) =n*3^n Why? a1+3a2+3^2a3+······+3^(n-1)an=n/3 a1+3a2+3^2a3+······+3^(n-2)a(n-1)=(n-1)/3 Subtraction of two formulas 3^(n-1)an=n/3-(n-1)/3 How do you get this by subtracting 3 ^ (n-1) an = n / 3 - (n-1) / 3 Subtraction is not to get 3 ^ (n-1) an-3 ^ (n-2) a (n-1) = n / 3 - (n-1) / 3. How can it be transformed into 3 ^ (n-1) an = n / 3 - (n-1) / 3
- 7. Given that a plus B equals three and ab equals one, find the value of a plus a and B of B
- 8. What is the difference between the product of 7 / 15 and 5 / 2 minus the quotient of 7 / 58 divided by 29 / 5?
- 9. A positive integer, if 100 is a perfect square, if 168 is another perfect square, then the positive integer is______ .
- 10. In the calculation of the value of (x + y) (x-2y) - my (nx-y) (m.n are all constants) Calculate the value of (x + y) (x-2y) - my (nx-y) (m.n are constants). When substituting the value of X and Y into the calculation, careless Xiaoming and Xiaoliang misjudged the value of Y, but the calculation results were all equal to 25. Careful Xiaomin substituted the correct value of X and y into the calculation, and the result was exactly 25. In order to find out, she arbitrarily took 2009 as the value of Y, and you say it's strange, the result was still 25 (1) According to the above situation, try to explore the mystery; (2) Can you determine the values of M, N and X?
- 11. A positive integer, if 100 is a perfect square, if 168 is another perfect square, then the positive integer is______ .
- 12. Subtract a number from the difference between seven eighths and a quarter to get two fifths. What's the number?
- 13. If AB = m (a > 0, b > 0, m ≠ 1) and logm (b) = 2, then logm (a)=
- 14. Let TN = 1 / A1A2 + 1 / a2a3 + 1 / a3a4 + +1 / Anan + 1, find TN
- 15. [(X-Y) & #178; + (x + y) & #178;] (X & #178; - Y & #178;) (m-n-3) & #178; (x-2y + Z) (- x + 2Y + Z) multiplication formula calculation Compare the following two numbers: 1995 × 1997 and 1993 × 1999
- 16. If 100 and 168 are added to a positive integer, two complete squares can be obtained. Then the positive integer is______ .
- 17. A number minus the product of 3 / 2 and 2, the difference is 2 / 5, what's the number
- 18. Let a > 0 and a ≠ 1, M = loga (A3 + 1), n = loga (A2 + 1), then the relation between M and N is () A. M > NB. M < NC. M = nd
- 19. It is known that the first term of positive term sequence an is 1, and for any n belongs to N, 1 / A1A2 + 1 / a2a3 + 1 / Anan + 1 = n / a1an + 1, the sum of the first 10 items is 55 Let BN = 1 / Anan + 2, find the first n terms of BN and Sn
- 20. Calculate the value of (x + 2) (x-1) - 2 (x-3) & sup2; fast bonus! Use complete square formula or square difference formula to solve it!!!! That's the solution! Process, process!