How do you simplify and write [(x25y34)5]4(36x6y4)12 with positive exponents?

1 Answer
Sep 17, 2016

2020×6y2x3

Explanation:

[(x25y34)5]4(36x6y4)12

Remove the outer brackets by multiplying the indices, to give

=(x25y34)20×3612x3y2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Recall: two laws for negative indices and x12=x

(ab)m=(ba)m and xm=1xm

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(5x24y3)20×36×y2x3

=2020×6y2x3

=2020×6y2x3