4
Since 2^2=4 ........1 and 2*0=0 ..........2 Dividing both sides of equation 1 by 2^2 2^2/2^2=4/2^2 => 2^(2-2)=4/4 or 2^0=1 (QED)
x^2 +4x-32=0 (x-4)(x+8)=0 then x-4=0 x+8=0 x=4 x=-8
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
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.
Anything to the power 0 is 1. 4 × 10^0 = 4 × 1 = 4.
4^0 = 1 any number to the 0 power = 1
Anything times 0 is 0.
4 by the power of 0 + 4 x the square root of 4 + 4 by the power of 0= (1 + 4) x 2 +1
4
Zero.
it is1
5^0 *5^-3*5^4
Any number x^0 = 1
30 x 22 = 1 x 4 = 4
5^0+4^2=? 5^0=1 4^2=16 So, 1+16=17 Answer is 17.
If that is x to the power 0, then it = 1, irrespective of the value of x. Consider for example x =4. x squared is 16. To get from x to the power 2 to x to the power 1, you divide by x, giving 4 to the power 1 = 4. Similarly, to get from x to the power 1 to x to the power 0, you divide by x, giving 4 to the power zero = 1.