Question

How do you simplify $-{{\left( 2.57 \right)}^{0}}$ ?
 (a) Using algebraic properties
(b) Using linear equations
(c) Using trigonometric identities
(d) None of these

Answer 1

Hint: To start with, we are given a problem, where we are dealing with simplifying a value of a given problem. We are given, $-{{\left( 2.57 \right)}^{0}}$and we also know that any number with the power 0 gives us a result 1. Thus, the term inside the bracket is 1 and we are getting our solution.

Complete step-by-step solution:
According to the problem, we are to simplify the term,$-{{\left( 2.57 \right)}^{0}}$.
Now, we all know, any number with a power 0 above that gives us a result 1. The number can be negative, fraction or an integer also.
Now, in our problem, we are given, $-{{\left( 2.57 \right)}^{0}}$.
For now, we will start by excluding the negative sign.
So, we have, ${{\left( 2.57 \right)}^{0}}$.
Where, 2.57 is a fraction which is having a power of 0.
Thus, we will get the value as 1.
Now, with the negative sign we are getting the value as, - 1.
Hence, $-{{\left( 2.57 \right)}^{0}}$is having the value -1.
So, we have our solution as, (a) Using algebraic properties.

Note: This is always to be considered an easy problem to get the solution. But still we have to be cautious about the problem and the calculations given out there. Easier problems can get easily wrong with silly mistakes and give us wrong results. So, taking care of that is quite important.