Q.95 - Intermediate Algebra

Question

In the following exercises, simplify each expression using the properties for exponents. 

$$\begin{gathered} \left(a\right)-{27}^0 \\ \left(b\right)-{\left(27\right)}^0 \end{gathered}$$

Step-by-Step Solution

Answer

The simplified form is:

$\begin{array}{rcl}\left(a\right)-{27}^0& =& 1\\ \left(b\right)-{\left(27\right)}^0& =& -1\end{array}$

Step 1

The Zero exponent property is defined as $a^0=1,a\ne 0$.

Step 2

Using the zero exponent property, simplify the expression:  

(a) $-27$ is a non zero number, so,

  $\begin{array}{rcl}-{27}^0& =& {\left(-27\right)}^0\\ & =& 1\end{array}$

(b) 27 is a non zero number, so, 

$\begin{array}{rcl}-{\left(27\right)}^0& =& -\left(1\right)\\ & =& -1\end{array}$