SenorMathWiz
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

If x is not equal to zero, what is the value of [tex]\frac{4(3x)^2}{(2x)^2}[/tex]

Sagot :

Space

Answer:

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]

Step 2: Simplify:

  1. Rewrite [Exponential Distributive Property]:                                                  [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex]
  2. [Order of Operations] Evaluate exponents:                                                   [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex]
  3. [Order of Operations] Multiply:                                                                        [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]
  4. Simplify:                                                                                                            [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex]
  5. [Order of Operations] Divide:                                                                          [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

[tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]

[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]

  • Take x^2 common and cancel.

[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto 9[/tex]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.