Express 2^12 as a power of 1/8

4096^1/8

Explanation:

Since we can calculate 2^12 = 4096 =>

we can simply express 4096 to the power of 1/8th

thus, we get 4096^1/8

(1/8)^(-4)

Explanation:

Law of logarithms

(b)^(nx) = (b^n)^x

2^12 = 2^(-3*-4) =(2^-3)^(-4) = (1/8)^(-4)

= 4096

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