To simplify the expression (13x^2z/y^2)^5, we need to raise each term inside the parentheses to the 5th power.
(13x^2z/y^2)^5 = (13^5)*(x^2)^5*(z^5)*((1/y^2)^5)
Simplifying each of the terms, we have:
(13^5) = 371293
(x^2)^5 = x^(2*5) = x^10
(z^5) = z^5
((1/y^2)^5) = (1^5)/(y^2)^5 = 1/(y^(2*5)) = 1/y^10
Putting it all together, we have:
(13x^2z/y^2)^5 = 371293*x^10*z^5/(y^10)
(13x^2z/y^2)^5
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