How do you multiply #(2yz)(-3y^3)#?

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Answer 1 · 2018-05-11T08:41:42

#-6y^4z#

#(2yz)(-3y^3)# is simply saying: #2yz times -3y^3#

If you multiply two exponents together, they powers simply add together.

#a^3# x #a^2# = #a^5#

#a# x #b# = #ab#

Using these rules of algebra you can simplify:

#2yz times -3y^3#

to

#-6y^4z#

or simplified version to see clearer:
#(-3x2)(ytimesy^3)(ztimes1)#
#-6timesy^4timesz#
#-6y^4z#