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Luden [163]
3 years ago
7

Plzzz help me with this question look at picture

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

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

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