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