Question

express 2^12 as a power of 1/8

Answer 1

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

Answer 2

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

$(b)^{nx} = (b^n)^x\\\\2^{12} = 2^{-3\times -4} = \dfrac18^{-4}$

Hence, the expression 2¹² as a power of 1/8 can be written as (1/8)⁻⁴.

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