# Evaluate ((1-3/10)÷((2/3+1/2)/(1/2*(4/5-1))))^-2

To divide by a fraction, multiply by its reciprocal.
Simplify the numerator.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Move the negative in front of the fraction.
Combine exponents.
Factor out negative.
Multiply and .
Multiply by .
Simplify the denominator.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Simplify the expression.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Subtract from .
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Multiply.
Multiply by .
Multiply by .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Simplify the expression.
Multiply by .
Move the negative in front of the fraction.
Change the sign of the exponent by rewriting the base as its reciprocal.
Use the power rule to distribute the exponent.
Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply by .
Raise to the power of .
Raise to the power of .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Evaluate ((1-3/10)÷((2/3+1/2)/(1/2*(4/5-1))))^-2

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