What is your conclusion?

Algebra Level 2

What can you conclude from this theory?

$2{ x }^{ 3 }\quad =\quad { y }^{ 2 }\quad =\quad { z }^{ 0 }\quad =\quad { a }^{ 2 }\quad =\quad 2b^{ 3 }\quad =\quad 3{ c }^{ 2 }\quad =\quad 4{ d }^{ 3 }$ .

Note:

1.) Assume that pattern proceed as it is. If you know it?!.

All expressions are equal to 1. Expressions:

6{ f }^{ 3 }\quad ,\quad 13{ m }^{ 2 }\quad and\quad 17{ q }^{ 3 }

can be found. They are equal to each other to a certain number. They are just equated but the truth is the greater the expression, the higher the value will be.

2 solutions

Stephard Donayre
Dec 22, 2014

There is one sure thing to this problem and that is the expression ${ z }^{ 0 }$ which has an exponent of 0 which is automatically be equal to one based on the laws of exponents. Since all are equated to each other, then, it is considered that all are equal to one. One of the expressions being mentioned in the choices is wrong which is $17{ q }^{ 3 }$ and the correct expression should be $17{ q }^{ 2 }$ .

Angela Fajardo
Jan 19, 2015

z^0 is equal to 1 , since it is has an exponent of 0 it is equal to 1. Since z^0 is equal to all other terms, the other terms should also be equal to 1, therefore all expressions are equal to 1

What is your conclusion?

2 solutions

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