Answer:
Between 0 and 1
Step-by-step explanation:
The given expresion is
[tex] {3}^{2} \times {3}^{ - 5} [/tex]
Recall that:
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
We apply this property of exponents to get;
[tex] {3}^{2} \times {3}^{ - 5} = {3}^{2 + - 5} = {3}^{ - 3} [/tex]
We rewrite to obtain a positive index as:
[tex] {3}^{2} \times {3}^{ - 5} = \frac{1}{ {3}^{3} } = \frac{1}{27} [/tex]
Therefore the value of the expression is between 0 and 1.
