How do you simplify #x^3 * 2x^5#?

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Answer 1 · 2018-03-06T17:33:09

See a solution process below:

First, rewrite the expression as:

#2(x^3 * x^5)#

Then use this rule for exponents to complete the simplification:

#x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#2(x^color(red)(3) xx x^color(blue)(5)) =>#

#2x^(color(red)(3) + color(blue)(5)) =>#

#2x^8#