4 ^ 50 15 ^ 25 what is the simple process of which big ratio

4 ^ 50 15 ^ 25 what is the simple process of which big ratio


4^50=(4^2)^25=16^25>15^25
So 4 ^ 50 > 15 ^ 25



65,27 / 50,32 / 25,1.09,1 and 3 / 4,1.86, respectively


It's better to teach people how to fish than to teach them how to fish. The key to solving such problems is to have ideas. You can't just give answers to the people above. You will still encounter problems in the future
1 and 3 / 4 = 1.75
32 out of 25 = 1.28
27 out of 50 = 0.54
So:
twenty-seven-fiftieths



3 is less than 4 (), 15 meters is more than 20%, 60 tons is increased by 50%, 25 is less than 40 ()%


3 less than 4 (25)%, 15 meters more than 12 meters (20%), 60 tons increased by 50% to (90) tons, 25 less than 40 (37.5)%



Can 3 be reduced on the N-1 power ratio of 1 - (- 2)


It seems impossible. The (n-1) times of (- 2) is the N times of (- 2) multiplied by (- 1) times of (- 2) [i.e. - 1 / 2], and then it crashes



If a and B are opposite numbers, try to discuss: when n is a positive integer, are the n-th power of a and the n-th power of B opposite numbers?


1、 If a = b = 0, the nth power of a is equal to the nth power of B;
2、 If a and B are not 0,
Then when n is even, the n-th power of a is equal to the n-th power of B;
Then when n is odd, the n-th power of a and the n-th power of B are opposite to each other



What is the nth power of the product of the inverse of six fifths and its reciprocal


The opposite number of 6 / 5 is - 6 / 5
The reciprocal of 6 / 5 is 5 / 6
(-6/5)*(5/6)=-1
-The nth power of 1 is 1 (when n is a positive odd number) or 1 (when n is a positive even number)



Given that 3 ^ n + 11 ^ m can be divided by 10, then 3 ^ (n + 4) + 11 ^ (M + 2) can also be divided by 10
3 ^ (n + 4) + 11 ^ (M + 2) is equal to the N + 4 power of 3 plus the M + 2 power of 11
Please hurry up. Thank you here~


3^(n+4)+11^(m+2)
=81*3^n+121*11^m
=81(3^n+11^m)+(121-81)11^m
=81(3^n+11^m)+40*11^m
Because 3 ^ n + 11 ^ m is divisible by 10, and 40 is divisible by 10
So 3 ^ (n + 4) + 11 ^ (M + 2) can be divided by 10



If the 24th power-1 of 24 can be divided by two integers between 60 and 70, then the two integers are?


24 = 25-1. (25-1) ^ 24-1 is expanded by binomial theorem, can be divided by 5 times, 65 24 ^ 2 = 576 = 575 + 1 = 25 * 23 + 1, 24 ^ 24 = (25 * 23 + 1) ^ 12-1. Can be divided by 23 times. 23 * 3 = 69.. the number is 65,69



It is proved by mathematical induction that f (n) = (2n + 7) * 3 ^ n + 9 (n belongs to positive integer) can be divided by 36


(1) Let f (k) = (2k + 7) * 3 ^ k + 9 = 36t (t is an integer), if n = K + 1, f (K + 1) = 3 * (2k + 9) * 3 ^ k + 9 = 3 * 36t + 18 * (3 ^ (k-1) - 1) and "3 ^ (k-1) - 1" be even numbers. Therefore, when n = K + 1, f (K + 1) = 3 * (2k + 9) * 3 ^ k + 9 = 3 * 36t + 18 * (3 ^ (k-1) - 1) can be divided and (1) (2) can be synthesized. The conclusion is valid



Prove that 2 ^ 1987 + 35 ^ 1325 can be divisible by 17