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Exercises Polynomials and factoring

Example 10.27 from Prealgebra, 10.2 Use Multiplication Properties of Exponents

Use Multiplication Properties of Exponents: example 10.27

Multiply: $(\frac{3}{4} c^{3} d) (12 c d^{2}) .$

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

$(\frac{3}{4} c^{3} d) (12 c d^{2})$

Use the Commutative Property to rearrange
the factors. $\frac{3}{4} \cdot 12 \cdot c^{3} \cdot c \cdot d \cdot d^{2}$

Multiply. $9 c^{4} d^{3}$

Your turn

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

Multiply: $(\frac{4}{5} m^{4} n^{3}) (15 m n^{3}) .$

How did it go?

PreviousUse Multiplication Properties of Exponents: example 10.26 Next Multiply Polynomials: example 10.28

From Prealgebra (1st edition) by OpenStax (Rice University), section 10.2, 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.