SOLUTION: ((3a)^2/(18b^3)) times ((12a^4b^5)/(9a^2)) Must multiply functions using least common denominator (LCD)

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Question 1008513: ((3a)^2/(18b^3)) times ((12a^4b^5)/(9a^2))
Must multiply functions using least common denominator (LCD)
Found 2 solutions by It is costly, MathTherapy:
Answer by It is costly(175) About Me  (Show Source):
Answer by MathTherapy(10558) About Me  (Show Source):
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((3a)^2/(18b^3)) times ((12a^4b^5)/(9a^2))
Must multiply functions using least common denominator (LCD)
%283a%29%5E2%2F%2818b%5E3%29%22%2A%22%2812a%5E4b%5E5%29%2F%289a%5E2%29

"Must multiply functions using least common denominator (LCD)." Is that so? Why?

%289a%5E2%29%2F%2818b%5E3%29%22%2A%22%2812a%5E4b%5E5%29%2F%289a%5E2%29

cross%289a%5E2%29%2F%2818b%5E3%29%22%2A%22%2812a%5E4b%5E5%29%2Fcross%289a%5E2%29 ------- Cancelling 9a%5E2 in numerator and denominator

%2812a%5E4b%5E5%29%2F%2818b%5E3%29 

2cross%2812%29a%5E4b%5E2cross%28b%5E5%29%2F3cross%2818%29cross%28b%5E3%29 ------- Cancelling 12 & 18, and b%5E5 & b%5E3 in numerator and denominator

highlight_green%28%282a%5E4b%5E2%29%2F3%29, or highlight_green%28%282%2F3%29a%5E4b%5E2%29