Evaluate ((2/3)÷(1/2)*3/4)^2

Math
(23÷12⋅34)2
To divide by a fraction, multiply by its reciprocal.
(23⋅2⋅34)2
Cancel the common factor of 2.
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Factor 2 out of 23⋅2.
(2(13⋅2)⋅34)2
Factor 2 out of 4.
(2(13⋅2)⋅32(2))2
Cancel the common factor.
(2(13⋅2)⋅32⋅2)2
Rewrite the expression.
(13⋅2⋅32)2
(13⋅2⋅32)2
Combine 13 and 2.
(23⋅32)2
Multiply 23 and 32.
(2⋅33⋅2)2
Simplify the expression.
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Multiply 2 by 3.
(63⋅2)2
Multiply 3 by 2.
(66)2
Divide 6 by 6.
12
One to any power is one.
1
1
Evaluate ((2/3)÷(1/2)*3/4)^2

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