Problem 5 · 2025 Math Kangaroo
Easy
Algebra & Patterns
number-systems
Which of the following expressions has the same value as \(\sqrt{16^{16}}\)?
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Answer: C — \(4^{16}\)
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Hint 1 of 2
Write 16 as a power of 4, then take the square root by halving the exponent.
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Hint 2 of 2
√(1616) = 168, and 16 = 4².
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Approach: convert to a common base and halve the exponent
- √(1616) = 168.
- Since 16 = 4², 168 = 416.
- Answer: 416.
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