Posted by AK on Tuesday, September 11, 2012 at 3:35pm.
all constants have a degree of 0.
x^0 = 1
20 = 20*x^0
-10 = -10*x^0
x^0 obviously has degree 0. How did you think it was 1? The power is the degree.
x^1 (or, just x) has degree 1
well,now that i know that all constants have a degree of zero, i understand.
It's just that, i thought that numbers and variables that have no index are to the power 1; since x^1=x, I thought it would be okay to apply this rule on constants as well.
In a), I thought the degree of 3 was 1 according to the rule: x^1=x (like: 3^1=3, I just thought the index wasn't written)
and in b), I thought that since x^0=1, i had to state the degree of the 1.
And i thought the degree of 1 was 1 until you told me that all constants have a degree of zero (which is something i only just found out about and don't entirely understand [to be honest]).
cool. Now it's something you don't have to worry about any more. Sometimes you have to pound these concepts in with a hammer. I know; my head still hurts.
the reason why x^0 is 1, can be easily seen, if you have worked with exponents yet:
x^5 = x*x*x*x*x
x^2 = x*x
x^/x^2 = (x*x*x*x*x)/(x*x) = x*x*x = x63 = x^(5-2)
That is, when you divide powers, you subtract exponents.
So, x^5 / x^5 = 1, but
it is also x^(5-5) = x^0
sorry about the typos:
x^5/x^2 = (x*x*x*x*x)/(x*x) = x*x*x = x^3 = x^(5-2)
can you show me the work for my homework
so 3 has a power of zero, correct?
Related Questions
Maths algebra - Factorise the following: x^4 - x^3 - x^2 + x The answer is x(x+1...
Algebra 2 - Solve the following systems of equations graphically. Please state ...
maths - for each of following sequences state whether it converges and if it ...
Pre-calculus-check answers - Write the polynomial equation of least degree that ...
Algebra II - 1)Rewrite 5pi/4 radians in degree measure. Answer: 225 2) Which ...
Social Studies/Missouri Facts - Could you also check these thanks. Could I get a...
11th Grade Maths - The difference between the two acute angles of a right- ...
Intermediate Algebra - State the degree of the following polynomial: -2x4y + xy...
algebra - state the degree of the following polynomial : 2x^3y+7xy-9y
Intermediate Algebra - State the degree of the following polynomial 9x^4y^3+6xy-...
For Further Reading
