Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 Online Content: Site 2 Describe how you would use the rules of exponents to simplify (7x2yz)3. You may indicate an exponent in your answer with ^. For example, 3x2 y2as 3x^2y^2. (Site 1)

First, apply the power of a product rule by which you raise each factor to the power 3, and then multiply all the factors, to obtain:

Next,  apply the power of a power rule, in virtue of which you raise the factor x² to the power 3 and obtain:

Finally, compute the numerical values, doing 7³ = 7×7×7 = 343.

Therefore, the final result is:

Explanation:

The expression you have to simplify is:

You have to apply two rules:

1. Power of a product

This rule states that the power of a product is equal to the product of each factor raised to the same exponent of the whole prduct:

For instance:

Using this with the expression   it is:

In complete sentences that is: raise every factor, 7, x², x, and z to the exponent 3 and, then, multiply them.

2. Power of a power:

This rule states that to raise a power to a power, you must multiply the exponents.

For instance:

You must apply that rule to the factor

That is:

3. Final result and description using complete sentences:

The first step is to apply the power of a product rule by rasing each factor to the power 3, and then multiply all the factors, to obtain:

The second step is to apply the power of a power rule, in virtue of which you raise the factor x² to the power 3, in this way:

The last step is to calculate the numerical values, doing 7³ = 7×7×7 = 343.

The final result is:

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