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Exercises Polynomials and factoring

Example 6.27 from Elementary Algebra, 6.2 Use Multiplication Properties of Exponents

Use Multiplication Properties of Exponents: example 6.27

Multiply: $(\frac{5}{6} x^{3} y) (12 x y^{2}) .$

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.

Solution

$(\frac{5}{6} x^{3} y) (12 x y^{2})$

Use the Commutative Property to rearrange the terms. $\frac{5}{6} \cdot 12 \cdot x^{3} \cdot x \cdot y \cdot y^{2}$

Multiply. $10 x^{4} y^{3}$

Your turn

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

Multiply: $(\frac{2}{5} a^{4} b^{3}) (15 a b^{3}) .$

How did it go?

PreviousUse Multiplication Properties of Exponents: example 6.26 Next Multiply Polynomials: example 6.28

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.