Evaluate -4/5*(-4/5)^2

Math
-45⋅(-45)2
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -45.
-45⋅((-1)2(45)2)
Apply the product rule to 45.
-45⋅((-1)24252)
-45⋅((-1)24252)
Multiply -1 by (-1)2 by adding the exponents.
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Move (-1)2.
(-1)2⋅-145⋅4252
Multiply (-1)2 by -1.
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Raise -1 to the power of 1.
(-1)2⋅(-1)145⋅4252
Use the power rule aman=am+n to combine exponents.
(-1)2+145⋅4252
(-1)2+145⋅4252
Add 2 and 1.
(-1)345⋅4252
(-1)345⋅4252
Raise 4 to the power of 2.
(-1)345⋅1652
Raise 5 to the power of 2.
(-1)345⋅1625
Raise -1 to the power of 3.
-45⋅1625
Multiply -45⋅1625.
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Multiply 1625 and 45.
-16⋅425⋅5
Multiply 16 by 4.
-6425⋅5
Multiply 25 by 5.
-64125
-64125
The result can be shown in multiple forms.
Exact Form:
-64125
Decimal Form:
-0.512
Evaluate -4/5*(-4/5)^2

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