Chapter 7: Q15. (page 399)

The probability of guessing correctly on 5 true-false questions is ${(\frac{1}{2})}^{5}$ . Express this probability as a fraction without exponents.

Short Answer

Expert verified

The required fraction is represented by $\frac{1}{32}$ .

Step by step solution

Step 1. Determine the exponent and base of provided expression as it will represent the count of its factors.

The provided expression contains $\frac{1}{2}$ as the base and 5 as its exponent.

Use the obtained base and exponent to determine the required evaluated value.

For numerator, perform multiplication of 1 by itself 5 times and for denominator, perform multiplication of 2 by itself 5 times to get the required value.

$\frac{1^{5}}{2^{5}} = \frac{1}{32}$

Step 3. Write the conclusion.

The obtained value does not contain any exponent which means that $\frac{1}{32}$ is the required fraction.

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The probability of guessing correctly on 5 true-false questions is ${(\frac{1}{2})}^{5}$ . Express this probability as a fraction without exponents.

Short Answer

Step by step solution

Step 1. Determine the exponent and base of provided expression as it will represent the count of its factors.

Use the obtained base and exponent to determine the required evaluated value.

Step 3. Write the conclusion.

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Short Answer

Step by step solution

Step 1. Determine the exponent and base of provided expression as it will represent the count of its factors.

Use the obtained base and exponent to determine the required evaluated value.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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The probability of guessing correctly on 5 true-false questions is ${(\frac{1}{2})}^{5}$ . Express this probability as a fraction without exponents.