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scoray [572]
3 years ago
11

Which expression is equivalent to (x^6 y^8) ^3 over x^2 y^2 ?

Mathematics
2 answers:
DiKsa [7]3 years ago
7 0
The answer would be D. because when the power of 3 is distributed to the x^6 and y^8, the simplified version would be x^18 y^24 because exponents are multiplied when outside of the parentheses. When that is put over x^2 y^2, you have to subtract the exponents to their matching variables. x^18 - x^2 = x^16 and y^24 - y^2 = y^22. So the final answer would be x^16 y^22.
Alekssandra [29.7K]3 years ago
7 0
The answer is D. x^16 y^22. Hope this helped!
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Answer:

f⁻¹(x) = x - 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

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  • Inverse Functions

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = x + 3

<u>Step 2: Find</u>

  1. Swap:                                                                                                                 x = y + 3
  2. [Subtraction Property of Equality] Isolate <em>y</em>:                                                      x - 3 = y
  3. Rewrite:                                                                                                             f⁻¹(x) = x - 3
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The slope of the line is

y=\frac{8-0}{2-(-2)}=\frac{8}{4}=2

Using the point (-2, 0) to substitute into point-slope form, we get the equation to be \boxed{y=2(x+2)}

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