Simplify ((a^3)/(-2b^4))^2

(a3-2b4)2
Move the negative in front of the fraction.
(-a3(2)b4)2
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -a32b4.
(-1)2(a32b4)2
Apply the product rule to a32b4.
(-1)2(a3)2(2b4)2
Apply the product rule to 2b4.
(-1)2(a3)222(b4)2
(-1)2(a3)222(b4)2
Simplify the expression.
Raise -1 to the power of 2.
1(a3)222(b4)2
Multiply (a3)222(b4)2 by 1.
(a3)222(b4)2
Multiply the exponents in (a3)2.
Apply the power rule and multiply exponents, (am)n=amn.
a3⋅222(b4)2
Multiply 3 by 2.
a622(b4)2
a622(b4)2
a622(b4)2
Simplify the denominator.
Raise 2 to the power of 2.
a64(b4)2
Multiply the exponents in (b4)2.
Apply the power rule and multiply exponents, (am)n=amn.
a64b4⋅2
Multiply 4 by 2.
a64b8
a64b8
a64b8
Simplify ((a^3)/(-2b^4))^2

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