Simplify ((-2u^2)/(v^4))^4

Math
(-2u2v4)4
Move the negative in front of the fraction.
(-(2)u2v4)4
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -2u2v4.
(-1)4(2u2v4)4
Apply the product rule to 2u2v4.
(-1)4(2u2)4(v4)4
Apply the product rule to 2u2.
(-1)424(u2)4(v4)4
(-1)424(u2)4(v4)4
Simplify the expression.
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Raise -1 to the power of 4.
124(u2)4(v4)4
Multiply 24(u2)4(v4)4 by 1.
24(u2)4(v4)4
24(u2)4(v4)4
Simplify the numerator.
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Raise 2 to the power of 4.
16(u2)4(v4)4
Multiply the exponents in (u2)4.
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Apply the power rule and multiply exponents, (am)n=amn.
16u2⋅4(v4)4
Multiply 2 by 4.
16u8(v4)4
16u8(v4)4
16u8(v4)4
Multiply the exponents in (v4)4.
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Apply the power rule and multiply exponents, (am)n=amn.
16u8v4⋅4
Multiply 4 by 4.
16u8v16
16u8v16
Simplify ((-2u^2)/(v^4))^4

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