Simplify (4/5)*(-1/3)*(4/5)^2*(-1/4)^4*(4/5)*(-1/3)^0

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(45)⋅(-13)⋅(45)2⋅(-14)4⋅(45)⋅(-13)0
Multiply 45 by (45)2 by adding the exponents.
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Move (45)2.
(45)245⋅(-13)⋅(-14)4⋅45⋅(-13)0
Multiply (45)2 by 45.
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Raise 45 to the power of 1.
(45)2(45)1⋅(-13)⋅(-14)4⋅45⋅(-13)0
Use the power rule aman=am+n to combine exponents.
(45)2+1⋅(-13)⋅(-14)4⋅45⋅(-13)0
(45)2+1⋅(-13)⋅(-14)4⋅45⋅(-13)0
Add 2 and 1.
(45)3⋅(-13)⋅(-14)4⋅45⋅(-13)0
(45)3⋅(-13)⋅(-14)4⋅45⋅(-13)0
Simplify (45)3⋅(-13)⋅(-14)4⋅45⋅(-13)0.
(45)3⋅(-13)⋅(-14)4⋅45
Multiply (45)3 by 45 by adding the exponents.
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Move 45.
45(45)3⋅(-13)⋅(-14)4
Multiply 45 by (45)3.
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Raise 45 to the power of 1.
(45)1(45)3⋅(-13)⋅(-14)4
Use the power rule aman=am+n to combine exponents.
(45)1+3⋅(-13)⋅(-14)4
(45)1+3⋅(-13)⋅(-14)4
Add 1 and 3.
(45)4⋅(-13)⋅(-14)4
(45)4⋅(-13)⋅(-14)4
Apply the product rule to 45.
4454⋅(-13)⋅(-14)4
Raise 4 to the power of 4.
25654⋅(-13)⋅(-14)4
Raise 5 to the power of 4.
256625⋅(-13)⋅(-14)4
Multiply 256625(-13).
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Multiply 256625 and 13.
-256625⋅3⋅(-14)4
Multiply 625 by 3.
-2561875⋅(-14)4
-2561875⋅(-14)4
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -14.
-2561875⋅((-1)4(14)4)
Apply the product rule to 14.
-2561875⋅((-1)41444)
-2561875⋅((-1)41444)
Multiply -1 by (-1)4 by adding the exponents.
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Move (-1)4.
(-1)4⋅-12561875⋅1444
Multiply (-1)4 by -1.
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Raise -1 to the power of 1.
(-1)4⋅(-1)12561875⋅1444
Use the power rule aman=am+n to combine exponents.
(-1)4+12561875⋅1444
(-1)4+12561875⋅1444
Add 4 and 1.
(-1)52561875⋅1444
(-1)52561875⋅1444
Simplify the expression.
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One to any power is one.
(-1)52561875⋅144
Raise 4 to the power of 4.
(-1)52561875⋅1256
Raise -1 to the power of 5.
-2561875⋅1256
-2561875⋅1256
Cancel the common factor of 256.
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Move the leading negative in -2561875 into the numerator.
-2561875⋅1256
Factor 256 out of -256.
256(-1)1875⋅1256
Cancel the common factor.
256⋅-11875⋅1256
Rewrite the expression.
-11875
-11875
Move the negative in front of the fraction.
-11875
The result can be shown in multiple forms.
Exact Form:
-11875
Decimal Form:
-0.00053‾
Simplify (4/5)*(-1/3)*(4/5)^2*(-1/4)^4*(4/5)*(-1/3)^0

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