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

Math
To divide by a fraction, multiply by its reciprocal.
Simplify the numerator.
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To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Move the negative in front of the fraction.
Combine exponents.
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Factor out negative.
Multiply and .
Multiply by .
Simplify the denominator.
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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 .
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Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Simplify the expression.
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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 .
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Move the leading negative in into the numerator.
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Multiply.
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Multiply by .
Multiply by .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Simplify the expression.
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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.
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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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