Evaluate (|((-21)^2)÷((-7)^2)+(((-21)^3)^2)÷((-21)^5)|)÷((-2)^2)

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|(-21)2÷(-7)2+((-21)3)2÷(-21)5|÷(-2)2
Rewrite the division as a fraction.
|(-21)2÷(-7)2+((-21)3)2÷(-21)5|(-2)2
Evaluate the exponents.
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Raise -21 to the power of 2.
|441(-7)2+((-21)3)2÷(-21)5|(-2)2
Raise -7 to the power of 2.
|44149+((-21)3)2÷(-21)5|(-2)2
|44149+((-21)3)2÷(-21)5|(-2)2
Simplify the numerator.
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Multiply the exponents in ((-21)3)2.
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Apply the power rule and multiply exponents, (am)n=amn.
|44149+(-21)3⋅2(-21)5|(-2)2
Multiply 3 by 2.
|44149+(-21)6(-21)5|(-2)2
|44149+(-21)6(-21)5|(-2)2
Raise -21 to the power of 6.
|44149+85766121(-21)5|(-2)2
|44149+85766121(-21)5|(-2)2
Raise -21 to the power of 5.
|44149+85766121-4084101|(-2)2
Simplify the numerator.
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To write 44149 as a fraction with a common denominator, multiply by 8334983349.
|44149⋅8334983349+85766121-4084101|(-2)2
To write 85766121-4084101 as a fraction with a common denominator, multiply by -1-1.
|44149⋅8334983349+85766121-4084101⋅-1-1|(-2)2
Write each expression with a common denominator of 4084101, by multiplying each by an appropriate factor of 1.
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Multiply 44149 and 8334983349.
|441⋅8334949⋅83349+85766121-4084101⋅-1-1|(-2)2
Multiply 49 by 83349.
|441⋅833494084101+85766121-4084101⋅-1-1|(-2)2
Multiply 85766121-4084101 and -1-1.
|441⋅833494084101+85766121⋅-1-4084101⋅-1|(-2)2
Multiply -4084101 by -1.
|441⋅833494084101+85766121⋅-14084101|(-2)2
|441⋅833494084101+85766121⋅-14084101|(-2)2
Combine the numerators over the common denominator.
|441⋅83349+85766121⋅-14084101|(-2)2
Simplify the numerator.
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Multiply 441 by 83349.
|36756909+85766121⋅-14084101|(-2)2
Multiply 85766121 by -1.
|36756909-857661214084101|(-2)2
Subtract 85766121 from 36756909.
|-490092124084101|(-2)2
|-490092124084101|(-2)2
Divide -49009212 by 4084101.
|-12|(-2)2
The absolute value is the distance between a number and zero. The distance between -12 and 0 is 12.
12(-2)2
12(-2)2
Simplify the expression.
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Raise -2 to the power of 2.
124
Divide 12 by 4.
3
3
Evaluate (|((-21)^2)÷((-7)^2)+(((-21)^3)^2)÷((-21)^5)|)÷((-2)^2)

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