### Theory:

Exponent with $$1$$:
For any number when it is rises to the power of 'one'$$(1)$$, it equals itself: ${a}^{1}=a.$ where $$a ≠0$$
Example:
1. ${\left(\frac{5}{8}\right)}^{1}=\frac{5}{8}$

2. ${\left(-14\right)}^{1}=-14$

3. $$1^1 = 1$$

4. $$(-1)^1$$ $$= -1$$

5. $$0^1 = 0$$
Exponent with zero:
For any number when it is raised to the power of $$0$$ it is always equals to the number $$1$$: ${a}^{0}=1.$
Example:
1. ${3}^{0}=1$

2. ${\left(7.5\right)}^{0}=1$

3. ${\left(-8\frac{1}{6}\right)}^{0}=1$

4. ${1}^{0}=1$

5. $$(-1)^0 = 1$$