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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: 263 (page 538)

In the following exercises . Simplify the expression

Short Answer

Expert verified

The simplified expression is $42 m^{5} n^{8}$ .

Step by step solution

01

Step 1. Given Information

The given expression is $(6 m^{4} n^{3}) (7 m n^{5})$ .

02

Step 2. Simplify the given expression.

Simplify the expression $(6 m^{4} n^{3}) (7 m n^{5})$

$(6 m^{4} n^{3}) (7 m n^{5}) = 6 n^{3} \cdot 7 m^{4 + 1} n^{5} 6 n^{3} \cdot 7 m^{4 + 1} n^{5} = 6 n^{3} \cdot 7 m^{5} n^{5} 6 n^{3} \cdot 7 m^{5} n^{5} = 6 \cdot 7 m^{5} n^{3 + 5} 6 \cdot 7 m^{5} n^{3 + 5} = 6 \cdot 7 m^{5} n^{8} 6 \cdot 7 m^{5} n^{8} = 42 m^{5} n^{8}$

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Most popular questions from this chapter

In the following exercises, multiply the binomials using a) the Distributive Property; b) the FOIL method; c) the Vertical Method

$(4 p + 11) (5 p - 4)$

Find the product of the below expression.

$(3 p + 8) (3 p - 8)$

Solve the square using the binomial squares pattern.

${(\frac{1}{5} x - \frac{1}{7} y)}^{2}$

In the following exercises, find the product of ${(y^{4} + 2 z)}^{2}$ .

Solve the square using the binomial squares pattern.

${(8 p^{3} - 3)}^{2}$

See all solutions

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