Simplify ((v^4)/(-8u^2))^2

Math
(v4-8u2)2
Move the negative in front of the fraction.
(-v4(8)u2)2
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -v48u2.
(-1)2(v48u2)2
Apply the product rule to v48u2.
(-1)2(v4)2(8u2)2
Apply the product rule to 8u2.
(-1)2(v4)282(u2)2
(-1)2(v4)282(u2)2
Simplify the expression.
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Raise -1 to the power of 2.
1(v4)282(u2)2
Multiply (v4)282(u2)2 by 1.
(v4)282(u2)2
Multiply the exponents in (v4)2.
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Apply the power rule and multiply exponents, (am)n=amn.
v4⋅282(u2)2
Multiply 4 by 2.
v882(u2)2
v882(u2)2
v882(u2)2
Simplify the denominator.
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Raise 8 to the power of 2.
v864(u2)2
Multiply the exponents in (u2)2.
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Apply the power rule and multiply exponents, (am)n=amn.
v864u2⋅2
Multiply 2 by 2.
v864u4
v864u4
v864u4
Simplify ((v^4)/(-8u^2))^2

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