-a^0 does not equal 1, it equals -1
remember it really says: -1a^0
thus: -1(a^0)
then: -1(1)
finally: -1
This problem completely confuses me as it had negative fractions. The answer that I worked out is different from the answer key.
Simplify:
(3a/-b) (b^2/6b) (b/-a)
= (3/6) (a/-a) (b^3/-b^2)
= (1/2) (-a^0) (-b^1)
= (1/2) (1) (-b)
= -b/2
The answer key gives +b/2 as the answer.
Should the negative sign in (3a/-b) be applied to 3 as well, such that step 2 would be:
(-3/6) (a/-a) (b^3/-b^2)
By having a -3, I could simplify the expression to +b/2. Does this mean that the negative sign in -b should be applied to 3 as well?
Please help, I can't find any resource that discusses simplifying negative fractions. Thanks in advance.
That was quick. Thanks!
I didn't know what -a^0 is. So I put in something like -22^0 in the calculator and it gives me a 1, so I thought -a^0 is 1. Your proof of -a^0 is equal -1 certainly helps.
(3a/-b) (b^2/6b) (b/-a)
= (3/6) (a/-a) (b^3/-b^2)
I'm not good in math, my head is still spinning about negative fractions. Since the mistake is in -a^0, I think the (3/6) in the second step is correct. It should not be (-3/6). It sounds silly to ask this, I'm thinking in terms of other questions, Is that right? Thanks again.
I am at loss now.
My calculator, Casio fx-550s computes -22^0 = 1
This web based exponent calculator, Exponential Expression Calculator computes -22^0 = 1
It is hard to imagine this one as it is in the negative sign.
The reason for this discrepenacy is based on the way the calculator takes an operation. His calculator computes,
-(22)^0=-(1)=-1
The online calculator computes,
(-22)^0=1
First, it is a matter of definition of how to define the zero exponent, it cannot be proved to be correct, thus there is no breakthrough.Maybe the person who can solve this will win the Nobel prize.
Second, there is no such thing as a Nobel prize for mathematics. Because Nobel believed that math does not affect society (which is true). Alternatively, there is a legend that a mathematicion had adultery with his wife, which is probably false. Because for one thing, Nobel never did have a wife.