Question

How do you simplify #(3y ^ { 2} z ^ { 3} ) ^ { 3} ( 2x y ^ { 4} z ^ { 3} )#?

How do you simplify #(3y ^ { 2} z ^ { 3} ) ^ { 3} ( 2x y ^ { 4} z ^ { 3} )#?
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Answer #1

#= 162 xy^10z^12#

Explanation:

#(3y^2z^3)xx3(2xy^4z^3)#

Remove the brackets

#rarr# for the first one all the factors have go be cubed.
#rarr# for the second, multiply by #3#

#=27y^6z^9xx6xy^4z^3" "larr # now multiply as usual

To multiply in algebra:

  • multiply the signs
  • multiply the numbers
  • add the indices of like bases.

#27y^6z^9xx6xy^4z^3#

#= 162 xy^10z^12#

answered by: EZ as pi
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