it means you need to do B to the power m, then take the nth root of your answer.
eg 9 to the power 3/2, means you do 9 cubed and then square root your answer. in this case, its easier to do the square root first and then cube your answer as the square root of 9 is 3, and 3 cubed is 27. therefore 3 to the power 3/2 equals 27
The power of a quotient is the quotient of the power! (a/b)^n = (a^n) / (b^n) where a/b is the quotient and n is the power.
There need not be any. Consider (a, b, m, n) = (37, 2, 35, 7) where n is a factor of m.or (a, b, m, n) = (37, 2, 5, 7) where m and n are relatively prime.
When M equals 25, then M divided by 5 is 5. It makes no difference what N is.
am * an = am+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
x^a is x time itself a number of timesx^0=1 any number raised to the zero power equals 1x^n times x^m = x^(n+m)x^n divided by x^m = x^(n-m)x^(1/n) is the n-th root of xx^(-1) is 1/x(mathematics) Any of the laws aman am+n, am/an am-n, (am)n amn, (ab)n anbn, (a/b)n = an/bn; these laws are valid when m and n are any integers, or when a and b are positive and m and n are any real numbers. Also known as exponential law.
The power of a quotient is the quotient of the power! (a/b)^n = (a^n) / (b^n) where a/b is the quotient and n is the power.
m x n
There need not be any. Consider (a, b, m, n) = (37, 2, 35, 7) where n is a factor of m.or (a, b, m, n) = (37, 2, 5, 7) where m and n are relatively prime.
The remainder is 0.If A has a remainder of 1 when divided by 3, then A = 3m + 1 for some integer mIf B has a remainder of 2 when divided by 3, then B = 3n + 1 for some integer n→ A + B = (3m + 1) + (3n + 2)= 3m + 3n + 1 + 2= 3m + 3n + 3= 3(m + n + 1)= 3k where k = m + n + 1 and is an integer→ A + B = 3k + 0→ remainder when A + B divided by 3 is 0-------------------------------------------------------------------------From this, you may be able to see that:if A when divided by C has remainder Ra; andif B when divided by C has remainder Rb; then(A + B) divided by C will have remainder equal to the remainder of (Ra + Rb) divided by C
When M equals 25, then M divided by 5 is 5. It makes no difference what N is.
if we have two negative numbers, -n and -m and we divide them: (-n)/(-m) then we can rewrite the quotient as : (-1)*n/(-1)*m and... (-1)/(-1) * n/m we know that any number divided by itself is 1 by some rule: so = (-n)/(-m) = n/m which is positive
m^4 n^5 - m^20 n^21
You can understand this by using one rule of exponents. For integers m,n, and positive integer a a^m/a^n=a^(m-n) So if we look at a^m/a^m which must be 1 since it is something divided by itself, we know from the rule we can also write this as a^(n-n)=a^0 but we just showed that was 1.
am * an = am+n
ab*ac=ab+c consider the powers of 2. 22=4, 23=8, 22*23=32=23+2=25 when multiplying a number by itself, you raise its power by one. when multiplying a number by itself n times, you raise it to the power of n, so if you raise a number to the power n, then the seame number to the power m, then multiply these together you are multiplying n+m times
Any number to the power '0' equals '1'. Proof ; Let a^(n) = b Then dividing a^(n) / a^(n) = b/b a^(n-n) = b/b a^(0) = 1