How do evaluate #\frac { 15x ^ { 14} y ^ { 14} } { 3x ^ { 6} y ^ { 2} }#?

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Answer 1 · 2018-03-05T02:23:19

See a solution process below:

First, rewrite the expression as:

#(15/3)(x^14/x^6)(y^14/y^2) =>#

#5(x^14/x^6)(y^14/y^2)#

Now, use this rule of exponents to complete the simplification:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#5(x^color(red)(14)/x^color(blue)(6))(y^color(red)(14)/y^color(blue)(2)) =>#

#5x^(color(red)(14)-color(blue)(6))y^(color(red)(14)-color(blue)(2)) =>#

#5x^8y^12#