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What is remainder when 5 to the power of 30 is divided by 7?
Look at the powers of 5 mod 7: 5¹ mod 7 = 5 5² mod 7 = 5 × (5¹ mod 7) mod 7 = (5 × 5) mode 7 = 25 mod 7 = 4 5³ mod 7 = 5 × (5² mod 7) mod 7 = (5 × 4) mod 7 = 20 mod 7 = 6 5⁴ mod 7 = 5 × (5³ mod 7) mod 7 = (5 × 6) mod 7 = 30 mod 7 = 2 5⁵ mod 7 = 5 × (5⁴ mod 7) mod 7 = (5 × 2) mod 7 = 10 mod 7 = 3 5⁶ mod 7 = 5 × (5⁵ mod 7) mod 7 = (5 × 3) mod 7 = 15 mod 7 = 1 5⁷ mod 7 = 5 × (5⁶ mod 7) mod 7 = (5 × 1) mod 7 = 5 mod 7 = 5 At this point, it is obvious that the remainders will repeat the cycle {5, 4, 6, 2, 3, 1} There are 6 remainders in the cycle, so the remainder of 30 divided by 6 will tell you which remainder to use; if the remainder is 0, use the 6th element. 30 ÷ 6 = 5 r 0 →use the 6th element which is 1, so 5³⁰ ÷ 7 will have a remainder of 1. 1 ≡ 5³⁰ mod 7.
Why does -24 mod 7 equal 4 but 24 mod 7 equal 3?
The modulus of a number relative to a base is the positive remainder when itis divided by that base. So -24 mod 7 = (-28 + 4) mod 7 = -28 mod 7 + 4 mod 7 = 4 mod 7 = 4while 24 mod 7 = (21 + 3) mod 7 = 21 mod 7 + 3 mod 7 = 3 mod 7 = 3.
What is the value mod 101 of 1964?
1964 mod 101 = 45
Can you find a square number that when divided by 3 has a remainder of 2?
No because it is impossible. Let mod(x.3) denote the remainder when x is divided by 3. Let n be any integer. Then mod(n,3) = 0,1 or 2. When mod(n,3) = 0, mod(n2,3) = 0 When mod(n,3) = 1, mod(n2,3) = 1 When mod(n,3) = 2, mod(n2,3) = 4 and, equivalently mod(n2,3) = 1. So, there are no integers whose squar leaves a remainder of 2 when divided by 3.
What is the unit digit in 3 power 99?
To find the units digit of 399 the question being asked is: What is (399) MOD 10? This does not necessitate evaluation of 399 before the modulus is done, as it can be done whenever it is possible during the multiplication as any multiple of 10 multiplied by 3 is still a multiple of 10. The first few powers of 3 modulus 10 are: 31 MOD 10 = 3 32 MOD 10 = (3 x 31) MOD 10 = (3 x 3) MOD 10 = 9 33 MOD 10 = (3 x 32) MOD 10 = (3 x 9) MOD 10 = 27 MOD 10 = 7 34 MOD 10 = (3 x 33) MOD 10 = (3 x 7) MOD 10 = 81 MOD 10 = 1 35 MOD 10 = (3 x 34) MOD 10 = (3 x 1) MOD 10 = 3 36 MOD 10 = (3 x 35) MOD 10 = (3 x 3) MOD 10 = 9 At this point, it can be seen that the answer is a repeating pattern of 3, 9, 7, 1, 3, 9, ... So we need the 99th element of this pattern. The pattern is a repeat of 4 digits, so we calculate 99 MOD 4 = 3. So the 3rd element of the repeating part is the answer: 7. (If the power MOD 4 had been 0, it would have been the 4th element of the pattern: 1)
How much is a falke mod pellet gun worth?
Which model are you referring to? State the model number and the condition of the gun, so and estimate can be given. Falke made 10 different air guns and rifles.
How much is a falke mod 33 pellet gun worth?
Falke model 33: Trigger guard swings forward to cock: Mfg 1951-58 Excellent=N/A Good=$250 Fair=$175 Poor=$100
How old is your falke mod 33 hand gun and how much is it worth?
I just (11/09) acquired one thru an inheritance gift, Googled it, and found that they were made in Germany from 1951-1959. I have no idea what it is worth, but am naturally curious.
What is the value of your Crosman mod 38 t C02 .177 cal pellet pistol in excellent cond in the original box?
It would be worth between $65 - $75. Add 20% for the box
Does orange box have garry's mod?
No, The Orange Box does not include Garry's Mod (instead it has HL2, HL2 EP 1 and 2, Portal and TF2). I wish it did have Garry's Mod.
How much does the car mod cost on minecraft x box 360?
Mods are free, but the XBox360 version can't be modded.
How do use garry's mod in the orange box?
You cant. It doesnt come with The Orange Box.
After downloading a mod what do you do to see the mod?
You shouldn't have to do anything but it depends on the mod if it is the too many items mod you need to press O,if it is the zepplin mod you need to craft the box to make it work.It depends on the mod tell me witch mod it is and I'll tell you what happend
Is it possible to jailbreak a dna 30 box mod up to 42 watts?
Yes. It is possible to jailbreak a DNA 30 box mod up to 42 watts. If so how?
How much is a Hercules mod 35 tear gas projector worth?
In the box in good condition with the instructions and unused shells it is worth $499.00
Whats the value of a mod 94-30-30 win serial2586198 all original?
Impossilbe to answer without a detailed description of all features, finish, condition, box, papers, accessories, etc..
How do you get godmode on black ops zombies?
its an x-box mod
