Question

Find the value of (256)1/2)1/2

Answer 1

Answer:

4

Step-by-step explanation:

((256)^1/2)^1/2

→√(√256)

→√(√(16×16))

→√(16)

→√(4×4)

→4

Hope it helps you...

Kindly Mark it as Brainiest if you liked it...

Answer 2

The value of (256^1/2)^(1/2) from the question is 4.

◆Since POWERS raised POWERS are MULTIPLIED, Both powers of (256^1/2)^(1/2) are multiplied.

[(1/2)×(1/2)=(1/4) ]

◆Solving further,

(256^1/2)^(1/2) = 256 ^(1/4 )

256^(1/4) =( 16×16 )^(1/4)

(as √256 =16)

=(4×4×4×4)^(1/4)

(as √16 = 4)

= (4^4)^(1/4) = 4.

◆(POWERS raised POWERS are multiplied )