Question

Plzzz help me with this question look at picture

Answer 1

ANSWER

B. 81

EXPLANATION

The given expression is:

${3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} }$

Recall that:

${a}^{m} \div {a}^{n} = {a}^{m - n}$

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

${3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = {3}^{ \frac{11}{5} - - \frac{9}{5} }$

We simplify the exponents to get;

${3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = {3}^{ \frac{11 + 9}{5}}$

${3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = {3}^{ \frac{20}{5}}$

${3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = {3}^{4}$

${3}^{ \frac{11}{5} } \div {3}^{ - \frac{9}{5} } = 81$

The correct answer is B. 81