(24÷2)2

Rewrite the division as a fraction.

(242)2

Rewrite 24 as 22⋅6.

Factor 4 out of 24.

(4(6)2)2

Rewrite 4 as 22.

(22⋅62)2

(22⋅62)2

Pull terms out from under the radical.

(262)2

(262)2

Cancel the common factor of 2.

Cancel the common factor.

(262)2

Divide 6 by 1.

62

62

Rewrite 62 as 6.

Use axn=axn to rewrite 6 as 612.

(612)2

Apply the power rule and multiply exponents, (am)n=amn.

612⋅2

Combine 12 and 2.

622

Cancel the common factor of 2.

Cancel the common factor.

622

Divide 1 by 1.

61

61

Evaluate the exponent.

6

6

6

Evaluate (( square root of 24)÷2)^2