Question

Define the value of the expression 3^2 x 3^{-5}

Answer 1

Answer:

Between 0 and 1

Step-by-step explanation:

The given expresion is

${3}^{2} \times {3}^{ - 5}$

Recall that:

${a}^{m} \times {a}^{n} = {a}^{m + n}$

We apply this property of exponents to get;

${3}^{2} \times {3}^{ - 5} = {3}^{2 + - 5} = {3}^{ - 3}$

We rewrite to obtain a positive index as:

${3}^{2} \times {3}^{ - 5} = \frac{1}{ {3}^{3} } = \frac{1}{27}$

Therefore the value of the expression is between 0 and 1.