If \sqrt2^n= 64 , what will be the value of n?

Surds and Indices Practice Test 1

Question : 14 of 40

Marks: +1, -0

√2^n= 64 ,

what will be the value of n?

Solution:

√2^n= 64

⇒2^n=64^2

⇒2^n=(2^6)^2=2^12

⇒n=12

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