Answer
$81x^{20}$
Work Step by Step
We start with the given expression: $(9x^5)^2(x^2)^5$
To raise a product to a power, we raise each factor to the power and multiply.
$9^2(x^5)^2(x^2)^5$
To raise a power to a power, we multiply the exponents: $81x^{10}x^{10}$
To multiply powers with the same base, we add the exponents: $81x^{20}$