Zero Exponent Expose

Algebra Level pending

Solve this mathematical equation:

( 2 c x ) 0 1 + x 0 d 0 \frac { { (2cx) }^{ 0 } }{ 1+\frac { { x }^{ 0 } }{ { d }^{ 0 } } }

-0.5 0 0.5 2

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

( 2 c x ) 0 = 1 , x 0 = 1 , d 0 = 1. E x p . = 1 1 + 1 1 = 1 1 + 1 = 1 2 = 0.5 (2cx)^0=1,~~~~~x^0=1,~~~~d^0=1.~~~~~~~~Exp.=\dfrac{1}{1 + \dfrac{1}{1}}\\ =\dfrac{1}{1 +1}=\dfrac{1}{2} =\boxed{ 0.5 }
I am adding this note :-We assume non of the c, d, or x is equal to zero. If any of them is zero, there is no solution.

That's right. No matter the variable or number that is raised by zero power, it will give also a value of one.

Merzel Mark Guilaran - 6 years, 5 months ago

Log in to reply

so 0^0 is 1? what i know is it's indeterminate. if it is 1, can u pls show me a proof? thanks :)

Justin Tuazon - 6 years, 5 months ago

Log in to reply

0^0 is 1 ... this is true and proof is given by calculus . i don't know much calculus ..but u can search for it -

Nihar Mahajan - 6 years, 5 months ago

Log in to reply

@Nihar Mahajan Oh, maybe I forget that one condition that it is except for zero because 0^0 is not always one.....thanks for clarification

Merzel Mark Guilaran - 6 years, 5 months ago

Log in to reply

@Merzel Mark Guilaran no friend ... 0^0 is 1 only

Nihar Mahajan - 6 years, 5 months ago

@Nihar Mahajan really? how about this

x 0 = x 1 1 = x x = 1 S o i f x = 0 0 0 = 0 1 1 = 0 0 = i n d e t e r m i n a t e { x }^{ 0 }={ x }^{ 1-1 }=\frac { { x } }{ { x } } =1\\ So\quad if\quad x=0\\ { 0 }^{ 0 }={ 0 }^{ 1-1 }=\frac { 0 }{ 0 } =indeterminate\\

So why is it 1?

Justin Tuazon - 6 years, 5 months ago

Log in to reply

@Justin Tuazon In some cases, if x is represented by any real numbers except for zero, for sure the value of it is 1. If we adhere that 0^0 is 1, then we do not obey the basic algebra law that 0/0= undefine or indeterminate.

Merzel Mark Guilaran - 6 years, 5 months ago

Log in to reply

@Merzel Mark Guilaran so 0^0 is 1 or indeterminate? im really curious on this topic lol

Justin Tuazon - 6 years, 5 months ago

Log in to reply

@Justin Tuazon http://www.askamathematician.com/2010/12/q-what-does-00-zero-raised-to-the-zeroth-power-equal-why-do-mathematicians-and-high-school-teachers-disagree/

Nihar Mahajan - 6 years, 5 months ago

Log in to reply

@Nihar Mahajan thank you :)

Justin Tuazon - 6 years, 5 months ago

@Justin Tuazon visit the url given below and u will get a calculus proof there :)

Nihar Mahajan - 6 years, 5 months ago

Log in to reply

@Nihar Mahajan i consulted a group and they said it's indeterminate, it's only a limit so it doesn't actually equal to 1. so for me it's indeterminate but thanks anyway :)

Justin Tuazon - 6 years, 5 months ago

@Justin Tuazon Okey. To stop this argumentation, I will make a mathematical proof for it.

Merzel Mark Guilaran - 6 years, 5 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...