Exponent of any number in n!

Exponent of a prime number in n!!

Rational exponents(powers) of a number

Let p be a prime number and n be a positive integer then exponent of p in n! is denoted by E_p(n!) and is given by E_p(n!)=[n/p]+[n/(p)^2]+[n/(p)^3]+....[n/(p^k)] where p^kltnltp^(k+1) and [x] denotes the greatest integral part of x if we isolate the power of each prime contained in any number N then N can be written as N=2^(alpha_1).3^(alpha_2).5^(alpha_3).7^(alpha_4) ....where alpha_i are whole numbers the exponent of 7 in ,^100c_50 is

OMR|Questions|Laws Of Exponents For Real Numbers|Questions|Summary

Let p be a prime number and n be a positive integer then exponent of p in n! is denoted by ^E_p(n! ) and is given by E_p(n!)=[n/p]+[n/(p)^2]+[n/(p)^3]+....[n/(p^k)] where p^kltnltp^(k+1) and [x] denotes the greatest integral part of x if we isolate the power of each prime contained in any number N then N can be written as N=2^(alpha_1).3^(alpha_2).5^(alpha_3).7^(alpha_4) ....where alpha_i are whole numbers The number of zeros at the end of 108! is

In the expansion of (x+y)^(n) , if the exponent of x in second term is 10, what is the exponent of y in 11th term.

Power of a Real numbers with positive and negative exponent

Power of a Rational number and the laws obeyed by their indices (exponents).

Algorithm to find integral exponents of iota and generalize in terms of 4n+1;4n;4n+2

Express as a power of a rational number with negative exponent. (((-3)/2)^(-2))^(-3)