Factor (-2/3)^2-3/4*2 1/3

Math
(-23)2-34⋅213
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -23.
(-1)2(23)2-34⋅213
Apply the product rule to 23.
(-1)22232-34⋅213
(-1)22232-34⋅213
Raise -1 to the power of 2.
12232-34⋅213
Multiply 2232 by 1.
2232-34⋅213
Raise 2 to the power of 2.
432-34⋅213
Raise 3 to the power of 2.
49-34⋅213
Convert 213 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
49-34⋅(2+13)
Add 2 and 13.
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To write 2 as a fraction with a common denominator, multiply by 33.
49-34⋅(2⋅33+13)
Combine 2 and 33.
49-34⋅(2⋅33+13)
Combine the numerators over the common denominator.
49-34⋅2⋅3+13
Simplify the numerator.
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Multiply 2 by 3.
49-34⋅6+13
Add 6 and 1.
49-34⋅73
49-34⋅73
49-34⋅73
49-34⋅73
Cancel the common factor of 3.
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Move the leading negative in -34 into the numerator.
49+-34⋅73
Factor 3 out of -3.
49+3(-1)4⋅73
Cancel the common factor.
49+3⋅-14⋅73
Rewrite the expression.
49+-14⋅7
49+-14⋅7
Combine -14 and 7.
49+-1⋅74
Multiply -1 by 7.
49+-74
Move the negative in front of the fraction.
49-74
To write 49 as a fraction with a common denominator, multiply by 44.
49⋅44-74
To write -74 as a fraction with a common denominator, multiply by 99.
49⋅44-74⋅99
Write each expression with a common denominator of 36, by multiplying each by an appropriate factor of 1.
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Multiply 49 and 44.
4⋅49⋅4-74⋅99
Multiply 9 by 4.
4⋅436-74⋅99
Multiply 74 and 99.
4⋅436-7⋅94⋅9
Multiply 4 by 9.
4⋅436-7⋅936
4⋅436-7⋅936
Combine the numerators over the common denominator.
4⋅4-7⋅936
Simplify the numerator.
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Multiply 4 by 4.
16-7⋅936
Multiply -7 by 9.
16-6336
Subtract 63 from 16.
-4736
-4736
Move the negative in front of the fraction.
-4736
Factor (-2/3)^2-3/4*2 1/3

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