Question

What is the square root of 24 to the 16th power

Answer 1

Answer:

24 ^ 8

Step-by-step explanation:

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)

24 ^ 8

Answer 2

Answer:

2²⁴ *3⁸ or  24⁸

Step-by-step explanation:

the square root of 24 to the 16th power  can be written as 24

($\sqrt{24}$ )¹⁶

√ means power of 1/2 so ($\sqrt{24}$ )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or

24 = 4*6 and $\sqrt{24} = 2\sqrt{6}$

then (2$\sqrt{6}$ )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸