How do you simplify #(z^5)^5# and write it using only positive exponents?

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Answer 1 · 2018-03-19T12:16:02

#color(blue)((z^5)^5 = z^25#

We must simplify #(z^5)^5# and write it using only positive exponents.

Let us examine the given expression containing exponents:

#(z^5)^5#

To simplify this expression we can use the following exponent rule:

#color(green)((a^m)^n = a^(mn)#

Using this rule, we can simplify the expression #(z^5)^5# as

#z^(5*5#

#rArr z^25#

Hence,

#color(blue)((z^5)^5 = z^25#

Please observe that the solution contains only positive exponents.

Hope it helps.