Simplify. Express your answer using exponents.
(11^9w^2)²
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Simplify. Express your answer using exponents. (11^9w^2)² Submit
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To simplify the expression ((11^9 w^2)²), we can apply the power of a power property of exponents, which states that ((a^m)^n = a^{m cdot n}).
1. Apply the exponent to each part:
[
(11^9)² = 11^{9 cdot 2} = 11^{18}
]
[
(w^2)² = w^{2 cdot 2} = w^4
]
2. Combine the results:
[
(11^9 w^2)² = 11^{18} w^4
]
So the simplified expression is:
[
11^{18} w^4
]
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