Answer:
(1/8)^(-4)
Explanation:
Law of logarithms
(b)^(nx) = (b^n)^x
2^12 = 2^(-3*-4) =(2^-3)^(-4) = (1/8)^(-4)
= 4096
An expression is defined as a set of numbers, variables, and mathematical operations. The expression 2¹² as a power of 1/8 can be written as (1/8)⁻⁴.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Using the Law of logarithms
[tex](b)^{nx} = (b^n)^x\\\\2^{12} = 2^{-3\times -4} = \dfrac18^{-4}[/tex]
Hence, the expression 2¹² as a power of 1/8 can be written as (1/8)⁻⁴.
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