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Examine and complete the work simplifying the expression (23)3. 1. Expand using 3 factors of 23: (23)(23)(23) 2. Apply the product of a power: 23 + 3 + 3 3. Simplify: 2x Answer the questions about simplifying and evaluating the expression (23)3 . What is the value of x in the simplified power? What is the value of the expression?

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btrinity54

Answer:

The value of x is 9  

The value of expression is 512.

Step-by step explanation:

The value of the expression is determined by using power factor properties.

The value of x in simplified power is 9.

The value of the expression is 512.

We have to simplify the expression [tex](2^3)^3[/tex].

According to the question,

To simplify the expression following all the steps given below.

Expression; [tex](2^3)^3[/tex]

  • Step1; Expand the expression using the factor of 3.

          [tex]= (2^3)^3\\\\= 2^3\times 2^3\times2^3[/tex]

  • Step2; Applying the product of a power,

           [tex]= 2^3\times 2^3\times2^3\\\\ = 2^{(3+3+3)}\\\\ = 2^{(9)}[/tex]

  • Step3; Simplify the equation with [tex]2^x[/tex],

                    [tex]\rm2^x=2^9\\\\ x =9[/tex]

  • Step4; The value of the expression is,

                    [tex]= 2^9\\\\= 512[/tex]

Hence, the value of x in simplified power is 9, and the value of the expression is 512.

To know more about Expand Power Rule click the link given below,=.

https://brainly.com/question/1779041

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