Simplify. Express your answer using exponents. (11p^6q^6r^5)^2 Submit.

To simplify the expression ((11p^6q^6r^5)^2) and express your answer using exponents, follow these steps:

1. Apply the Power of a Product Rule: When you raise a product to a power, you apply the exponent to each factor inside the parentheses. This means you will square (11), (p^6), (q^6), and (r^5).

2. Square Each Component:

– (11^2 = 121)

– ((p^6)^2 = p^{6 times 2} = p^{12})

– ((q^6)^2 = q^{6 times 2} = q^{12})

– ((r^5)^2 = r^{5 times 2} = r^{10})

3. Combine the Results: Now put everything together:

[

(11p^6q^6r^5)^2 = 121p^{12}q^{12}r^{10}

]

So, the simplified expression is (121p^{12}q^{12}r^{10}).

Feel free to ask if you need more clarification!