Question

(64²)¼=========================?​

Answer 1

Answer:

Step-by-step explanation:

$(64^{2} )^{1/4} = ((2^6)^2)^{1/4} =(2^{12})^{1/4}=2^{12/4} =2^3=8$

Answer 2

(64²)¼= 8

First of all we have to evaluate 64² in terms of the power of 4.

64 is given in terms of power of 2 and 64 is also a perfect square. So,

∴ 64² = (8²)² = 8⁴.

Therefore, we have to find,

(64²)^(1/4)

= [(8⁴)]^(1/4)              [As, 64² = 8⁴]

= 8                            [(aˣ)^(1/x) = a]