Answer:
2²⁴ *3⁸ or 24⁸
Explanation:
the square root of 24 to the 16th power can be written as 24
( )¹⁶
√ means power of 1/2 so ( )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or
24 = 4*6 and
then (2 )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸
24 ^ 8
sqrt(24) ^ 16th power
Rewriting the square root as ^ 1/2
24 ^ 1/2 ^ 16
We know that a^b^c = a^ (b*c)
24 ^ (1/2*16)
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)¹⁶ )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or 
)¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸