Problem 144
Question
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.
Step-by-Step Solution
Verified Answer
Dr. Frankenstein still needs to obtain \(1/4\) of his creature.
1Step 1: 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.
2Step 2: Determine what has been gathered
Next, add the gathered fractions together. 'So far' Formula: \(1/2 + 1/4 = 3/4\).
3Step 3: Determine what still needs to be obtained
Subtract the gathered amount represented by the sum from 1. 'Remaining' Formula: \(1 - 3/4 = 1/4\).
Other exercises in this chapter
Problem 144
Factor the numerator and the denominator. Then simplify by dividing out the common factor in the numerator and the denominator. $$\frac{x^{2}+6 x+5}{x^{2}-25}$$
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Simplify and express the answer in descending powers of \(x\) : $$2 x\left(x^{2}+4 x+5\right)+3\left(x^{2}+4 x+5\right)$$
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Determine whether each statement makes sense or does not make sense, and explain your reasoning. My mathematical model describes the data for tuition and fees a
View solution Problem 145
$$\frac{5}{4} \cdot \frac{8}{15}$$
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