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Plzzz help me with this question look at picture

Plzzz help me with this question look at picture-example-1
User Michael SM
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1 Answer

2 votes

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

User Kenji
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