How do you simplify #(9x^5y^4)(3xy^5)^4# leaving only positive exponents?

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Answer 1 · 2018-04-19T08:48:10

# 729x^9y^24#

#(9x^5y^4)color(blue)((3xy^5)^4)#

First remove the brackets.

Raise all the factors in the second bracket to the power of #4#

#=9x^5y^4 xxcolor(blue)( 81x^4y^20)#

Now simplify:
multiply the numbers and add the indices of like bases

#=9xx81" " x^(5+4) " "y^(4+20)#

#= 729x^9y^24#