# Evaluate (7/8)^2*(2/7-13/49)-1/8*1/16

(78)2⋅(27-1349)-18⋅116
Simplify each term.
Apply the product rule to 78.
7282⋅(27-1349)-18⋅116
Raise 7 to the power of 2.
4982⋅(27-1349)-18⋅116
Raise 8 to the power of 2.
4964⋅(27-1349)-18⋅116
To write 27 as a fraction with a common denominator, multiply by 77.
4964⋅(27⋅77-1349)-18⋅116
Write each expression with a common denominator of 49, by multiplying each by an appropriate factor of 1.
Multiply 27 and 77.
4964⋅(2⋅77⋅7-1349)-18⋅116
Multiply 7 by 7.
4964⋅(2⋅749-1349)-18⋅116
4964⋅(2⋅749-1349)-18⋅116
Combine the numerators over the common denominator.
4964⋅2⋅7-1349-18⋅116
Simplify the numerator.
Multiply 2 by 7.
4964⋅14-1349-18⋅116
Subtract 13 from 14.
4964⋅149-18⋅116
4964⋅149-18⋅116
Cancel the common factor of 49.
Cancel the common factor.
4964⋅149-18⋅116
Rewrite the expression.
164-18⋅116
164-18⋅116
Multiply -18⋅116.
Multiply 116 and 18.
164-116⋅8
Multiply 16 by 8.
164-1128
164-1128
164-1128
To write 164 as a fraction with a common denominator, multiply by 22.
164⋅22-1128
Write each expression with a common denominator of 128, by multiplying each by an appropriate factor of 1.
Multiply 164 and 22.
264⋅2-1128
Multiply 64 by 2.
2128-1128
2128-1128
Combine the numerators over the common denominator.
2-1128
Subtract 1 from 2.
1128
The result can be shown in multiple forms.
Exact Form:
1128
Decimal Form:
0.0078125
Evaluate (7/8)^2*(2/7-13/49)-1/8*1/16

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