# Simplify ((-3b^4)/7)^4*((-3b^4)/7)^-6

(-3b47)4⋅(-3b47)-6
Multiply (-3b47)4 by (-3b47)-6 by adding the exponents.
Use the power rule aman=am+n to combine exponents.
(-3b47)4-6
Subtract 6 from 4.
(-3b47)-2
(-3b47)-2
Move the negative in front of the fraction.
(-(3)b47)-2
Change the sign of the exponent by rewriting the base as its reciprocal.
(-73b4)2
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -73b4.
(-1)2(73b4)2
Apply the product rule to 73b4.
(-1)272(3b4)2
Apply the product rule to 3b4.
(-1)27232(b4)2
(-1)27232(b4)2
Simplify the expression.
Raise -1 to the power of 2.
17232(b4)2
Multiply 7232(b4)2 by 1.
7232(b4)2
Raise 7 to the power of 2.
4932(b4)2
4932(b4)2
Simplify the denominator.
Raise 3 to the power of 2.
499(b4)2
Multiply the exponents in (b4)2.
Apply the power rule and multiply exponents, (am)n=amn.
499b4⋅2
Multiply 4 by 2.
499b8
499b8
499b8
Simplify ((-3b^4)/7)^4*((-3b^4)/7)^-6

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