Chapter 7: Q13. (page 399)

Evaluate each expression.
${(\frac{2}{3})}^{2}$

Short Answer

Expert verified

The required evaluated value is represented by $\frac{4}{9}$ .

Step by step solution

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

The provided expression contains $\frac{2}{3}$ as the base and 2 as its exponent.

Step 2. Use the obtained base and exponent to determine the required evaluated value.

For numerator, perform multiplication of 2 by itself 2 times and for denominator, perform multiplication of 3 by itself 2 times to get the required value.

$\begin{matrix} \frac{2^{2}}{3^{2}} = \frac{2 \cdot 2}{3 \cdot 3} \\ = \frac{4}{9} \end{matrix}$

Step 3. Write the conclusion.

The obtained value is in simplified form which means that $\frac{4}{9}$ is the required evaluated value.

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Evaluate each expression.
${(\frac{2}{3})}^{2}$

Short Answer

Step by step solution

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

Step 2. Use the obtained base and exponent to determine the required evaluated value.

Step 3. Write the conclusion.

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Evaluate each expression.(23)2

Short Answer

Step by step solution

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

Step 2. 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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Evaluate each expression.
${(\frac{2}{3})}^{2}$