2018

Mathematics

67ca00ce0c643c71d77dee1f

Simplify (〖25〗^2/3)÷〖25〗^(1/6))/((1/5 )^(7/6)÷(1/5 )(1/6) )

A.

25

B.

1

C.

1/5

D.

1/25

Correct Answer: 25

Explanation

(〖25〗^2/3)÷〖25〗^(1/6))/((1/5 )^(7/6)÷(1/5 )(1/6) ) =〖25〗^(2/3-1/6)/((1/5 )^(7/6-1/6) ) = 〖25〗^{(1/2)/((1/5)) = 5 / 1/5 = 25}

(〖25〗^2/3)÷〖25〗^(1/6))/((1/5 )^(7/6)÷(1/5 )(1/6) ) =〖25〗^(2/3-1/6)/((1/5 )^(7/6-1/6) ) = 〖25〗^{(1/2)/((1/5)) = 5 / 1/5 = 25}

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