# Solve for A A=((1/8)^2*(-2/5)^6*(-5/2)^4)^2

A=((18)2⋅(-25)6⋅(-52)4)2
Apply the product rule to 18.
A=(1282⋅(-25)6⋅(-52)4)2
One to any power is one.
A=(182⋅(-25)6⋅(-52)4)2
Raise 8 to the power of 2.
A=(164⋅(-25)6⋅(-52)4)2
Move the negative in front of the fraction.
A=(164⋅(-25)6⋅(-52)4)2
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -25.
A=(164⋅((-1)6(25)6)⋅(-52)4)2
Apply the product rule to 25.
A=(164⋅((-1)62656)⋅(-52)4)2
A=(164⋅((-1)62656)⋅(-52)4)2
Simplify the expression.
Raise -1 to the power of 6.
A=(164⋅(12656)⋅(-52)4)2
Multiply 2656 by 1.
A=(164⋅2656⋅(-52)4)2
Raise 2 to the power of 6.
A=(164⋅6456⋅(-52)4)2
Raise 5 to the power of 6.
A=(164⋅6415625⋅(-52)4)2
A=(164⋅6415625⋅(-52)4)2
Cancel the common factor of 64.
Cancel the common factor.
A=(164⋅6415625⋅(-52)4)2
Rewrite the expression.
A=(115625⋅(-52)4)2
A=(115625⋅(-52)4)2
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -52.
A=(115625⋅((-1)4(52)4))2
Apply the product rule to 52.
A=(115625⋅((-1)45424))2
A=(115625⋅((-1)45424))2
Simplify the expression.
Raise -1 to the power of 4.
A=(115625⋅(15424))2
Multiply 5424 by 1.
A=(115625⋅5424)2
Raise 5 to the power of 4.
A=(115625⋅62524)2
Raise 2 to the power of 4.
A=(115625⋅62516)2
A=(115625⋅62516)2
Cancel the common factor of 625.
Factor 625 out of 15625.
A=(1625(25)⋅62516)2
Cancel the common factor.
A=(1625⋅25⋅62516)2
Rewrite the expression.
A=(125⋅116)2
A=(125⋅116)2
Multiply 125 and 116.
A=(125⋅16)2
Simplify the expression.
Multiply 25 by 16.
A=(1400)2
Apply the product rule to 1400.
A=124002
One to any power is one.
A=14002
Raise 400 to the power of 2.
A=1160000
A=1160000
The result can be shown in multiple forms.
Exact Form:
A=1160000
Decimal Form:
A=6.25⋅10-6
Solve for A A=((1/8)^2*(-2/5)^6*(-5/2)^4)^2

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