Question

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

Answer 1

2²⁴ *3⁸ or 24⁸

Explanation:

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

(
`√(24)` )¹⁶

√ means power of 1/2 so (
`√(24)` )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or

24 = 4*6 and
`√(24) = 2√(6)`

then (2
`√(6)` )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸

Answer 2

24 ^ 8

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