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Exercises Polynomials and factoring

Example 6.20 from Elementary Algebra, 6.2 Use Multiplication Properties of Exponents

Use Multiplication Properties of Exponents: example 6.20

Simplify: ⓐ $a^{7} \cdot a$ ⓑ $x^{27} \cdot x^{13} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1
Solution
1. ⓐ
  
  Rewrite, a = a¹.
  
  Use the product property, a^m · aⁿ = a^m+n.
  
  Simplify.
2. ⓑ
  
  Notice, the bases are the same, so add the exponents.
  
  Simplify.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Simplify: ⓐ $p^{5} \cdot p$ ⓑ $y^{14} \cdot y^{29} .$

How did it go?

PreviousUse Multiplication Properties of Exponents: example 6.19 Next Use Multiplication Properties of Exponents: example 6.21

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 6.2, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.