How do you multiply #7x ^ { 3} \cdot 10u ^ { 3} v ^ { 5} \cdot 8u v ^ { 3}#?

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Answer 1 · 2017-06-13T02:55:15

See a solution process below:

First, rewrite the expression as:

#(7 * 10 * 8)x^3(u^3 * u)(v^5 * v^3) =>#

#560x^3(u^3 * u)(v^5 * v^3)#

Use these rules of exponents to multiply the #u# and #v#terms:

#a = a^color(blue)(1)# and #x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#560x^3(u^3 * u)(v^5 * v^3) => 560x^3(u^color(red)(3) * u^color(blue)(1))(v^color(red)(5) * v^color(blue)(3)) =>#

#560x^3u^(color(red)(3)+color(blue)(1))v^(color(red)(5)+color(blue)(3)) =>#

#560x^3u^4v^8#