How do you simplify #(3ab^2c^5)^3(a^3b^8c)^2#?

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Answer 1 · 2018-04-28T04:01:47

#27a^9b^22c^17#

#(3ab^2c^5)^3(a^3b^8c)^2#

To simplify begin by distributing the exponents outside the parenthesis to each of the terms inside the parenthesis multiplying by each exponent.

#3^3a^3b^(2*3)c^(5*3)(a^(3*2)b^(8*2)c^2#

#27a^3b^6c^15a^6b^16c^2#

Now combine live variables by adding their exponents.

#27a^(3+6)b^(6+16)c^(15+2)#

#27a^9b^22c^17#