# Evaluate ((10^2)/5)÷((7-5)^2)

1025÷(7-5)2
Rewrite the division as a fraction.
1025(7-5)2
Multiply the numerator by the reciprocal of the denominator.
1025⋅1(7-5)2
Simplify the expression.
Raise 10 to the power of 2.
1005⋅1(7-5)2
Divide 100 by 5.
201(7-5)2
201(7-5)2
Simplify the denominator.
Subtract 5 from 7.
20122
Raise 2 to the power of 2.
20(14)
20(14)
Cancel the common factor of 4.
Factor 4 out of 20.
4(5)14
Cancel the common factor.
4⋅514
Rewrite the expression.
5
5
Evaluate ((10^2)/5)÷((7-5)^2)

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