Exponents are subject to many laws, just like other mathematical properties. These are X^1 = X, X^0 = 1, X^-1 = 1/X, X^m * X^n = X^m+n, X^m/X^n = X^m-n, (X^m)^n = X^(m*n), (XY)^n = X^n * Y^n, (X/Y)^n = X^n/Y^n, and X^-n = 1/X^n.
Exponents are subject to many laws, just like other mathematical properties. These are X^1 = X, X^0 = 1, X^-1 = 1/X, X^m * X^n = X^m+n, X^m/X^n = X^m-n, (X^m)^n = X^(m*n), (XY)^n = X^n * Y^n, (X/Y)^n = X^n/Y^n, and X^-n = 1/X^n.
for any non zero no. x, x^0=1 the proof is as follows, consider the two no.s x^m and x^n,where m and n are two non zero no.s. now let us assume without any oss of generality,that m>n,hence (x^m)/x^n=(x*x*x....m times)/(x*x*x...n times) now on the r.h.s, n no. of x in the denominator will cancel out n no. of x in the numerator(as x is non zero);leaving (m-n) no. of x in the numerator, i.e. (x^m)/(x^n)=x^(m-n) now letting m=n,we have x^m/x^m=x^(m-m) or, 1=x^0 hence the proof if x is also 0,i.e. 0 to the power 0 is undefined!
To multiply m x 10a by n x 10b: multiply the numbers (m x n) add the powers (a + b) (m x 10a) x (n x 10b) = mn x 10a+b To divide m x 10a by n x 10b: divide the numbers (m / n) subtract the powers (a - b) (m x 10a) / (n x 10b) = m/n x 10a-b
F = ma 50 N = m x 10 m = 5 kg
Exponents are subject to many laws, just like other mathematical properties. These are X^1 = X, X^0 = 1, X^-1 = 1/X, X^m * X^n = X^m+n, X^m/X^n = X^m-n, (X^m)^n = X^(m*n), (XY)^n = X^n * Y^n, (X/Y)^n = X^n/Y^n, and X^-n = 1/X^n.
Exponents are subject to many laws, just like other mathematical properties. These are X^1 = X, X^0 = 1, X^-1 = 1/X, X^m * X^n = X^m+n, X^m/X^n = X^m-n, (X^m)^n = X^(m*n), (XY)^n = X^n * Y^n, (X/Y)^n = X^n/Y^n, and X^-n = 1/X^n.
Exponents are subject to many laws, just like other mathematical properties. These are X^1 = X, X^0 = 1, X^-1 = 1/X, X^m * X^n = X^m+n, X^m/X^n = X^m-n, (X^m)^n = X^(m*n), (XY)^n = X^n * Y^n, (X/Y)^n = X^n/Y^n, and X^-n = 1/X^n.
n = gmol = N molecules / N Avogadro n = ( 2.4 x 10^23 molecules ) / ( 6.022 x 10^23 molecules per gmol ) n = 0.3985 gmol m = ( n ) ( M ) m = ( 0.3985 ) ( 141.94 g per gmol ) = 56.6 g <----------------------
Work = Force X Distance 20 N X 10 m = 200 N-m
for any non zero no. x, x^0=1 the proof is as follows, consider the two no.s x^m and x^n,where m and n are two non zero no.s. now let us assume without any oss of generality,that m>n,hence (x^m)/x^n=(x*x*x....m times)/(x*x*x...n times) now on the r.h.s, n no. of x in the denominator will cancel out n no. of x in the numerator(as x is non zero);leaving (m-n) no. of x in the numerator, i.e. (x^m)/(x^n)=x^(m-n) now letting m=n,we have x^m/x^m=x^(m-m) or, 1=x^0 hence the proof if x is also 0,i.e. 0 to the power 0 is undefined!
If n is less than 10m it is impossible as not all of them can have at least 10 chocolates. So as long as there are n ≥ 10m chocolates, 10 chocolates are given to each mathematician and the remaining extra x = n - 10m chocolates need to be distributed among the m mathematicians which can be done in: m - 1 + xCm - 1 = (m - 1 + x)!/(m - 1)!x! ways. Using only m and n, this becomes: n - 9m - 1Cm - 1 = (n - 9m - 1)!/(m - 1)!(n - 10m)! ways.
If: m = n+x/p then x = p(m-n)
To multiply m x 10a by n x 10b: multiply the numbers (m x n) add the powers (a + b) (m x 10a) x (n x 10b) = mn x 10a+b To divide m x 10a by n x 10b: divide the numbers (m / n) subtract the powers (a - b) (m x 10a) / (n x 10b) = m/n x 10a-b
Newton(N)=Force(F) F=m(mass) x g(gravitational acceleration) ;g=9,8m/s x s ~10 m/s x s F=453 x 10=4530 N
m *n (m multiplied by n) would be mn.
m x n