Question

Plzzz help me with this question look at picture

Answer 1

B. 81

Step-by-step explanation

The given expression is:

`{3}^{ (11)/(5) } / {3}^{ - (9)/(5) }`

Recall that:

`{a}^(m) / {a}^(n) = {a}^(m - n)`

We simplify the expression using the properties of exponents to obtain:

`{3}^{ (11)/(5) } / {3}^{ - (9)/(5) } = {3}^{ (11)/(5) - - (9)/(5) }`

We simplify the exponents to get;

`{3}^{ (11)/(5) } / {3}^{ - (9)/(5) } = {3}^{ (11 + 9)/(5)}`

`{3}^{ (11)/(5) } / {3}^{ - (9)/(5) } = {3}^{ (20)/(5)}`

`{3}^{ (11)/(5) } / {3}^{ - (9)/(5) } = {3}^(4)`

`{3}^{ (11)/(5) } / {3}^{ - (9)/(5) } = 81`

The correct answer is B. 81