Question

How do you simplify $9^\hat{\ }0$ ?

Answer 1

Hint: Here in this question we need to simplify the given number. Firstly we should be aware of the symbol of exponents shown as $^\hat{\ }$ . We know that from the concepts that the value of any number raised to zero is one.

Complete step by step solution:
In this question we have been asked to simplify the given number $9^\hat{\ }0$.
We know that here $\hat{\ }$ is used to represent an exponent symbol.
Therefore we can say that $ 9^\hat{\ }0={{9}^{0}}$ .
From the basics of algebra we know that the value of any number raised to the power zero is one. This can be mathematically represented as $a^\hat{\ }0\Rightarrow {{a}^{0}}=1$ where $a$ is any number.
By using this line as a base we can give the value of any number raised to the power of zero.
Here we have been asked for nine raised to the power of zero. So we can say that the answer is one.
Hence we can show or represent this mathematically as $\Rightarrow {{9}^{0}}=1$ .
Therefore we can conclude the simplified version of the given number is given as $\Rightarrow 9^\hat{\ }0=1$ .

Note: Here while answering this question very less mistakes are possible and can be answered in a less span of time too. So we should carefully look at the question. Here we should be aware of two things. First one the symbol of power and the value of any number to the power zero. Similarly we can give the value of three raised to the power zero as $3^\hat{\ }0={{3}^{0}}=1$ .