A 5th grader could answer this in a matter of seconds. How fast could you react?

Algebra Level 1

Find the value of:

x = a 3 a 2 1 4 a 1 y = x 3 + 1 x + 1 x 1 + 1 + 1 x\quad =\quad \frac { \frac { \sqrt [ 3 ]{ a } }{ { a }^{ 2 } } }{ \frac { 1 }{ 4a } } \quad -\quad 1\\ \\ \\ \\ y\quad =\quad \frac { \frac { \sqrt [ 3 ]{ x } \quad +\quad 1 }{ { x }\quad +\quad 1 } }{ \frac { x }{ 1 } \quad +\quad 1 } \quad +\quad 1

If a = 8.

Then what is x y 0 { |-x-y| }^{ 0 }

2 0 -2 1

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5 solutions

Fox To-ong
Jan 10, 2015

ANY NUMBER TO THE POWER OF ZERO IS 1

Fox, we need to exempt 0.

Edwin Gray - 2 years, 1 month ago

For every number except 0 to the power of 0 is 1

Kunal Gawade
Dec 31, 2014

|-x-y|^0=1

Jack Rawlin
Dec 24, 2014

n 0 = 1 n^0 = 1

Since this equation always holds true

x y 0 = 1 |-x - y |^0 = 1

Did you answer it in seconds eh?

Stephard Donayre - 6 years, 5 months ago

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I'd say it took me between 3 3 to 5 5 seconds to notice it and around 1 1 second to find and click the answer. So yes.

Jack Rawlin - 6 years, 5 months ago

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Ah... As what I've expected. Thanks for the reply.

Stephard Donayre - 6 years, 5 months ago
Stephard Donayre
Dec 22, 2014

Any number that would have an exponent of 0 will be equal to 1. Don't believe in me? Then search laws of exponents on the internet or books. There you will find.

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