Evaluate ((3/5)/(6/5))^2

Math
(3565)2
Multiply the numerator by the reciprocal of the denominator.
(35⋅56)2
Cancel the common factor of 3.
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Factor 3 out of 6.
(35⋅53(2))2
Cancel the common factor.
(35⋅53⋅2)2
Rewrite the expression.
(15⋅52)2
(15⋅52)2
Cancel the common factor of 5.
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Cancel the common factor.
(15⋅52)2
Rewrite the expression.
(12)2
(12)2
Simplify the expression.
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Apply the product rule to 12.
1222
One to any power is one.
122
Raise 2 to the power of 2.
14
14
The result can be shown in multiple forms.
Exact Form:
14
Decimal Form:
0.25
Evaluate ((3/5)/(6/5))^2

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