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What is 2x to the fourth power times -2x to the fourth power?
4
If 2 to the power of 2 equals 4 and 2 times 0 equals 0 why does X to the power of zero equals 1?
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 to the 2nd power plus 4x - 32?
x^2 +4x-32=0 (x-4)(x+8)=0 then x-4=0 x+8=0 x=4 x=-8
Why does 4 to the power of 1 equal 4?
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
Why is 6 to the power 0 equal to 1?
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.
