Question

How do you simplify \[-{{6}^{0}}\]?

Answer 1

Hint: This question is from the topic of algebra. In solving this question, we will first know what that number is when it has a power of zero. After that, we will find the value of \[{{6}^{0}}\] and multiply the value of \[{{6}^{0}}\] with negative that is minus sign as we have to find \[-{{6}^{0}}\]. After that, we will get the value of \[-{{6}^{0}}\] that means we will get our answer.

Complete step by step solution:
Let us solve this question.
In this question, we have to simplify the term \[-{{6}^{0}}\]. That means, we will solve the term \[-{{6}^{0}}\] and find the simple value of the same term.
Before solving, let us know about one thing.
Any number or any variable having power or order zero, then the value of the term will be 1. Or, mathematically we can say
\[{{x}^{0}}=1\]
Here, x is any variable. Here, x can be any number also.
The term we have to solve is \[-{{6}^{0}}\].
As we have known that any number or any variable having power zero, then it is always equal to zero. So, we can write
\[{{6}^{0}}=1\]
Now, multiplying both sides of the above equation with -1, we can write the above equation as
\[\Rightarrow -1\times {{6}^{0}}=-1\times 1\]
Now, we can write the above equation as
\[\Rightarrow -{{6}^{0}}=-1\]

As we know that, we had to find the value of \[-{{6}^{0}}\], so we have found the value of \[-{{6}^{0}}\] and the simplified value we have found is -1.

Note: We should have a better knowledge in the topic of algebra to solve this type of question easily. We should know that any number or any variable having power zero is always equal to 1. Let us understand this in mathematical form.
\[{{x}^{0}}=1\]
\[{{5}^{0}}=1\]
In solving this question, we should not get confused with negative signs. That means we cannot write \[-{{6}^{0}}\] as \[{{\left( -6 \right)}^{0}}\], because the negative sign is not shown in brackets. If the bracket was there, then we can solve this as \[{{\left( -6 \right)}^{0}}=1\], but we cannot do that.