Find the highest power of 6 contained in 125
WebApr 7, 2024 · Simplifying the fractions, we get ⇒ The exponent of 2 in 100! = [ 50] + [ 25] + [ 12.5] + [ 6.25] + [ 3.125] + [ 1.5625] Since [.] represents the greatest integer function, we get ⇒ The exponent of 2 in 100! = 50 + 25 + 12 + 6 + 3 + 1 Adding the terms, we get ⇒ The exponent of 2 in 100! = 97 Since the exponent of 2 is in the power of 2, we get WebHere, we first read in the values of n and p. Then, we initialize the maximum power to 0 and the power of p to pk = p. We iterate over all powers of p that are less than or equal to n, …
Find the highest power of 6 contained in 125
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Web202 views, 7 likes, 1 loves, 9 comments, 4 shares, Facebook Watch Videos from Central Church of Christ: Worship Service WebWe can see that increasing the natural number by 1, we are gathering 3 more powers of 5. Therefore, (n + 1) is a multiple of 125 but not a multiple of 625 as it would result in 4 …
WebFind the maximum power of 5 in 60! a. 10 b. 12 c. 13 d. 14 Show Answer 4. Find the maximum power of 15 in 100! a. 6 b. 25 c. 27 d. 24. Show Answer ... Find the highest … WebThis is an online calculator for exponents. Calculate the power of large base integers and real numbers. You can also calculate numbers to the power of large exponents less than 2000, negative exponents, and real numbers …
WebThis formula can be used to find the highest power of a prime number in a factorial. Consider the example 8! = 1×2×3×4×5×6×7×8 8! = 2 e 1 .3 e 2 .5 e 3 … Note that [.] denotes greater integer function. Here e 1 = [8/2 1] + [8/2 2] + [8/2 3] + [8/2 4] + .. = 4 + 2 + 1 + 0 = 7 Now e 2 = [8/3 1] + [8/3 2] + [8/3 3] + … = 2 + 0 = 2 WebThis online Mathematics Power Calculator allows you to calculate the number raised to any power. To use the calculator, simply input the number and its power …
WebClick here👆to get an answer to your question ️ Find the highest power of 2 contained in 150! Solve Study Textbooks Guides. Join / Login. Question . Find the highest power of …
WebMar 14, 2024 · Now, we know that 20 = 2 × 2 × 5 . We can see here the highest prime factor is 5 . So, the least power in 100! is 5 . So, this will determine the power of 20 contained in 100 factorial. Hence, the largest power of 20 contained in 100 factorial is 24 . So, the correct answer is “24”. creative writing about photographyWebJun 14, 2024 · To Find: Highest power of 6 in (50!) Solution: Find prime factor of 6 6 = 2 × 3 as 3 is larger than 2 hence power of 3 will decide the power of 6 in 50! Power of 3 in 50! is given by [50/3] + [50/3²] + [50/3³] + [50/3⁴] + ... [] represents greatest integer function = [50/3] + [50/9] + [50/27] + [50/81] + ... = 16 + 5 + 1 + 0 + ... = 22 creative writing 10 bc curriculumWeb24 Oct. 3^4=81 and 3^5= 243 which is more than 200. so require d multiple will be 3,9.27.81. multiple of thre are 66 out which multiple of 9 are 22 power of 3 will be … creative writing about waterWebMay 22, 2014 · What number to the 6th power equals 125? Wiki User ∙ 2014-05-22 11:14:35 Study now See answer (1) Best Answer Copy It is about 2.236 You want a number X such that X^6=125. 125= 5*5*5=... creative writing a christmas carolWebJul 27, 2024 · The highest power of 2 is 100! = = 50 + 25 + 12 + 6 + 3 +1= 97 And, the highest power of 5 in 100! = = 20 + 4 = 24 Hence, the highest power of 2 in 100! is 97 … creative writing about lonelinessWebSolution. 25 =52. In this case, we will first find out the exponents of 5 and then divide it by 2 (actually the power) to find out the exponents of 25. 100 5x = [100 5]+[100 52] =20+4 … creative writing activities for grade 11WebDec 5, 2024 · 5 1 and 5 2 are the only two powers of 5 that can divide 40. Higher powers of 5 (for example, 5 3 = 125, or 5 4 = 625 etc.) are greater than 40, hence we will not consider them while dividing with powers of 5. … creative writing about witnessing death