How do you multiply and simplify #\frac { ( 8a ) ^ { 3} * ( 2a ^ { 1} c ^ { 2} ) ^ { 3} } { 2a ^ { 2} b ^ { 2} c ^ { 3} }#?

1 Answer
Barney V.
Feb 2, 2017

#(2^11a^4c^2)/b^2#

Explanation:

#((8a)^3*(2a^1c^2)^3)/(2a^2b^2c^3#

#:.=((2^3a)^3*2^3a^3c^6)/(2a^2b^2c^3#

#:.=(2^9a^3*2^3a^3c^6)/(2^1a^2b^2c^3#

#:.=(2^9a^3*2^2a^1c^2)/b^2#

#:.=(2^(9+2)a^(3+1)c^2)/b^2#

#:.=(2^11a^4c^2)/b^2#

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