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Chapter 0: Problem 144

The mad Dr. Frankenstein has gathered enough bits and pieces (so to speak) for \(2^{-1}+2^{-2}\) of his creature-to-be. Write a fraction that represents the amount of his creature that must still be obtained.

Short Answer

Expert verified
Dr. Frankenstein still needs to obtain \(1/4\) of his creature.

Step by step solution

01

Simplification of the fractional exponents

First, recognize that \(2^{-1}\) and \(2^{-2}\) are fractional forms of exponents, equal to \(1/2\) and \(1/4\) respectively.
02

Determine what has been gathered

Next, add the gathered fractions together. 'So far' Formula: \(1/2 + 1/4 = 3/4\).
03

Determine what still needs to be obtained

Subtract the gathered amount represented by the sum from 1. 'Remaining' Formula: \(1 - 3/4 = 1/4\).

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