How do you simplify #\frac { ( 3y ^ { - 2} b ^ { 4} ) ^ { 4} } { ( 9y ^ { 6} b ^ { - 4} ) ^ { 2} }#?

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Answer 1 · 2017-09-26T03:18:25

#b^24/y^20#

#(3y^-2b^4)^4/(9y^6b^-4)^2 = (3^4y^-8b^16)/(9^2 y^12 b^-8)#

#rArr 3^4. 9^-2. y^-8.y^-12. b^16.b^8#

#rArr 3^4. (3^2)^-2.y^(-8-12).b^(16+8)#

#rArr 3^4. 3^-4. y^-20. b^24#

#rArr 3^(4-4).y^-20. b^24#

#rArr 3^0. y^-20. b^24#

#rArr 1. y^-20. b^24#

#rArr b^24/y^20#