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 they are both equal the answer will be zero.E.g.1/4 - 1/4 =(1 - 1 = 0)0/4 = 0
It is like a pattern. 4^4=64 4^2=16 4^1=4 4^0=1 as the exponent gets smaller the result is divided by 4.
Zero.
0 (1-1)/4 = 0/4 = 0
Anything to the power 0 is 1. 4 × 10^0 = 4 × 1 = 4.
If they are both equal the answer will be zero.E.g.1/4 - 1/4 =(1 - 1 = 0)0/4 = 0
This is equal to 1. On the Wikipedia page for imaginary numbers, they have a table, but here is a summary for in: n value of i^n -- ------ -4, 1 -3, i -2, -1 -1, -i 0, 1 1, i 2, -1 3, -i 4, 1 Notice there is a repeating pattern.
It is like a pattern. 4^4=64 4^2=16 4^1=4 4^0=1 as the exponent gets smaller the result is divided by 4.
Zero.
The power is indicative of how many times you should multiply a number repeatedly to achieve your result. Its easy to look at it in expanded form below with the key concept being that anything ^0 is equal to 1 as 1 is the starting point of the expanded multiplication. It must be this was as if it was 0 then anything to the power of anything would become 0. The "1" represents placing "1" 4 on the multiplication train just as a 2 would place 2 4's on it. 4^0 = 1 4^1 = 1*4 =4 4^2 = 1*4*4 = 16 4^3 = 1*4*4*4 = 64
0 (1-1)/4 = 0/4 = 0
Anything to the power 0 is 1. 4 × 10^0 = 4 × 1 = 4.
Anything to the power 0 is 1. Using the laws of powers to get to x to the power n-1 from x to the power n you divide by n; eg to get 4 squared (16) from 4 cubed (64) you divide 64 by 4. If you start with x to the power 1 and want x to the power zero, you divide by x. And x divided by x is 1.
4^0 = 1. x^0 = 1, unless x=0.
The answer to this depends on your order of operations. If you mean: 4m0 then the answer is 4 If you mean (4m)0 then the answer is 1 This is because any value other than 0, when raised to the power of 0, is equal to 1. Note that in both cases above, that means that "m" must not be equal to 0. Otherwise, the answer is undefined.
4^0 = 1 any number to the 0 power = 1
4^(-3) = 1/4^3 or 1/64