# Simplify ((b^3)/(-3y^2))^4

(b3-3y2)4
Move the negative in front of the fraction.
(-b3(3)y2)4
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -b33y2.
(-1)4(b33y2)4
Apply the product rule to b33y2.
(-1)4(b3)4(3y2)4
Apply the product rule to 3y2.
(-1)4(b3)434(y2)4
(-1)4(b3)434(y2)4
Simplify the expression.
Raise -1 to the power of 4.
1(b3)434(y2)4
Multiply (b3)434(y2)4 by 1.
(b3)434(y2)4
Multiply the exponents in (b3)4.
Apply the power rule and multiply exponents, (am)n=amn.
b3⋅434(y2)4
Multiply 3 by 4.
b1234(y2)4
b1234(y2)4
b1234(y2)4
Simplify the denominator.
Raise 3 to the power of 4.
b1281(y2)4
Multiply the exponents in (y2)4.
Apply the power rule and multiply exponents, (am)n=amn.
b1281y2⋅4
Multiply 2 by 4.
b1281y8
b1281y8
b1281y8
Simplify ((b^3)/(-3y^2))^4

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