Answer:
1/5
Step-by-step explanation:
Law of Exponent I
[tex] \displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }[/tex]
Compare the expression:
Therefore:-
[tex] \displaystyle \large{ {25}^{ - \frac{1}{2} } = \frac{1}{ {25}^{ \frac{1}{2} } } }[/tex]
Law of Exponent II
[tex] \displaystyle \large{ {a}^{ \frac{1}{2} } = \sqrt{a} }[/tex]
Derived from:
[tex] \displaystyle \large{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]
Therefore:-
[tex] \displaystyle \large{ {25}^{ - \frac{1}{2} } = \frac{1}{ {25}^{ \frac{1}{2} } } } \\ \displaystyle \large{ {25}^{ - \frac{1}{2} } = \frac{1}{ \sqrt{25} } } \\ \displaystyle \large{ {25}^{ - \frac{1}{2} } = \frac{1}{ 5} }[/tex]
