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

Math
(-2ba4)4
Move the negative in front of the fraction.
(-(2)ba4)4
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -2ba4.
(-1)4(2ba4)4
Apply the product rule to 2ba4.
(-1)4(2b)4(a4)4
Apply the product rule to 2b.
(-1)424b4(a4)4
(-1)424b4(a4)4
Raise -1 to the power of 4.
124b4(a4)4
Multiply 24b4(a4)4 by 1.
24b4(a4)4
Raise 2 to the power of 4.
16b4(a4)4
Multiply the exponents in (a4)4.
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Apply the power rule and multiply exponents, (am)n=amn.
16b4a4⋅4
Multiply 4 by 4.
16b4a16
16b4a16
Simplify ((-2b)/(a^4))^4

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