Evaluate |((2/5)^2*(20/7)^2)^-1|

Math
|((25)2⋅(207)2)-1|
Simplify the expression.
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Apply the product rule to 25.
|(2252⋅(207)2)-1|
Raise 2 to the power of 2.
|(452⋅(207)2)-1|
Raise 5 to the power of 2.
|(425⋅(207)2)-1|
Apply the product rule to 207.
|(425⋅20272)-1|
Raise 20 to the power of 2.
|(425⋅40072)-1|
Raise 7 to the power of 2.
|(425⋅40049)-1|
|(425⋅40049)-1|
Cancel the common factor of 25.
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Factor 25 out of 400.
|(425⋅25(16)49)-1|
Cancel the common factor.
|(425⋅25⋅1649)-1|
Rewrite the expression.
|(4⋅1649)-1|
|(4⋅1649)-1|
Combine 4 and 1649.
|(4⋅1649)-1|
Multiply 4 by 16.
|(6449)-1|
Change the sign of the exponent by rewriting the base as its reciprocal.
|4964|
4964 is approximately 0.765625 which is positive so remove the absolute value
4964
The result can be shown in multiple forms.
Exact Form:
4964
Decimal Form:
0.765625
Evaluate |((2/5)^2*(20/7)^2)^-1|

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