simplify√(-1/6)^-2/3
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Solve for x x+1/6=-2/3
x+16=−23x+16=-23
Subtract 1616 from both sides of the equation.
x=−23−16x=-23-16
To write −23-23 as a fraction with a common denominator, multiply by 2222.
x=−23⋅22−16x=-23⋅22-16
Write each expression with a common denominator of 66, by multiplying each by an appropriate factor of 11.
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x=−2⋅26−16x=-2⋅26-16
Combine the numerators over the common denominator.
x=−2⋅2−16x=-2⋅2-16
Simplify the numerator.
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x=−56x=-56
Move the negative in front of the fraction.
x=−56x=-56
The result can be shown in multiple forms.
Exact Form:
x=−56x=-56
Decimal Form:
x=−0.8¯3
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