Plzzz help me with this question look at picture

Question

asked May 21, 2020 3.5k views

1 Answer

Kenji · Answer 1 · 2020-05-25T11:18:49+0000

ANSWER

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