Simplify each expression. Write your final answer without ne (a) ✓ 200 √√32 6√2 (b) (2a³b³) (3ab²)² 18a5b7 (c) X 36y7 (d) 6x5/2y3 \x³y-1/2 (e) x + 8 x-8 1 X- 2 x² + 9x + 8 x²7x-8 x² x² 4 -2 - x + 1 x + 2

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Simplify each expression. Write your final answer without negative exponents.**

- **(a)** \(\sqrt{200} - \sqrt{32}\)

  Simplified answer: \(6\sqrt{2}\) ✔️

- **(b)** \((2a^3b^3)(3ab^2)^2\)

  Simplified answer: \(18a^5b^7\) ✔️

- **(c)** \(\left(\frac{6x^{5/2}y^3}{x^3y^{-1/2}}\right)^{-2}\)

  Incorrect simplification given: \(\frac{x}{36y^7}\) ❌

- **(d)** \(\frac{x^2 + 9x + 8}{x^2 - 7x - 8}\)

  Simplified answer: \(\frac{x+8}{x-8}\) ✔️

- **(e)** \(\frac{\frac{x^2}{x^2-4} - \frac{x+1}{x+2}}{\frac{1}{x-1}}\)

  Simplified answer: \(\frac{1}{x-2}\) ✔️

- **(f)** \(\frac{\frac{x}{y} - \frac{x}{y}}{\frac{1}{1} - \frac{1}{y}}\)

  Simplified answer: \(-y - x\) ✔️
Transcribed Image Text:**Simplify each expression. Write your final answer without negative exponents.** - **(a)** \(\sqrt{200} - \sqrt{32}\) Simplified answer: \(6\sqrt{2}\) ✔️ - **(b)** \((2a^3b^3)(3ab^2)^2\) Simplified answer: \(18a^5b^7\) ✔️ - **(c)** \(\left(\frac{6x^{5/2}y^3}{x^3y^{-1/2}}\right)^{-2}\) Incorrect simplification given: \(\frac{x}{36y^7}\) ❌ - **(d)** \(\frac{x^2 + 9x + 8}{x^2 - 7x - 8}\) Simplified answer: \(\frac{x+8}{x-8}\) ✔️ - **(e)** \(\frac{\frac{x^2}{x^2-4} - \frac{x+1}{x+2}}{\frac{1}{x-1}}\) Simplified answer: \(\frac{1}{x-2}\) ✔️ - **(f)** \(\frac{\frac{x}{y} - \frac{x}{y}}{\frac{1}{1} - \frac{1}{y}}\) Simplified answer: \(-y - x\) ✔️
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