Q1. Write an example that illustrate... [FREE SOLUTION]

Chapter 5: Q1. (page 226)

Write an example that illustrates a property of powers. Then use multiplication or division to explain why it is true.

Short Answer

Expert verified

The example for product of powers is $2^{3} 鈰� 2^{4} = 2^{7}$ .

Step by step solution

Step 1. Given Information.

Given to write an example that illustrates a property of powers and then to use multiplication or division to explain why it is true.

Step 2. Explanation.

Considering the product of powers:

Let the example be $2^{3} 鈰� 2^{4} = 2^{7}$

According the product of powers i.e. $a^{m} 鈰� a^{n} = a^{m + n}$ , the example can be proven as below:

$\begin{array}{l} 2^{3} 鈰� 2^{4} = 2^{3 + 4} \\ 2^{3} 鈰� 2^{4} = 2^{7} \end{array}$

Checking the rule using multiplication:

$\begin{array}{l} 2^{3} 鈰� 2^{4} = (2 鈰� 2 鈰� 2) 鈰� (2 鈰� 2 鈰� 2 鈰� 2) \\ 2^{3} 鈰� 2^{4} = 2 鈰� 2 鈰� 2 鈰� 2 鈰� 2 鈰� 2 鈰� 2 \\ 2^{3} 鈰� 2^{4} = 2^{7} \end{array}$

Step 3. Conclusion.

Hence, the product of powers is always true.

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91影视

Write an example that illustrates a property of powers. Then use multiplication or division to explain why it is true.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

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