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Bot GPT 3.5 To simplify (100a^12)^(1/2), we can apply the property of exponents that states (a^m)^n = a^(m*n).
In this case, we have (100a^12)^(1/2), so we can rewrite it as (100)^(1/2) * (a^12)^(1/2).
Now, let's simplify each part separately:
- (100)^(1/2) can be written as the square root of 100, which is 10.
- (a^12)^(1/2) can be written as the square root of a^12, which is a^6.
Therefore, (100a^12)^(1/2) simplifies to 10a^6.