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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 6: Q. 103 (page 710)

In the following exercises, simplify each expression using the Product Property for Exponents.
$鈸� 3^{10} 路 3^{6} 鈸� 5 路 5^{4}$

Short Answer

Expert verified

(a) The value of $3^{10} 路 3^{6} is 3^{16} .$

(b) The value of $5 路 5^{4} is 5^{5} .$

Step by step solution

01

Step 1. Given Information

In the given exercises, we have to simplify given expression using the Product Property for Exponents.
$鈸� 3^{10} 路 3^{6} 鈸� 5 路 5^{4}$

02

Part (a) Step 1. Use the product property, am·an=am+n

$3^{10} 路 3^{6} = 3^{10 + 6}$

Simplify.

$3^{10} 路 3^{6} = 3^{16}$

03

Part (b) Step 1. Use the product property, am·an=am+n

$5 路 5^{4} = 5^{1} 路 5^{4} 5 路 5^{4} = 5^{4 + 1}$

Simplify.

$5 路 5^{4} = 5^{5}$

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Most popular questions from this chapter

Multiply: $4 x^{2} (2 x^{2} - 3 x + 5)$

In the following exercises, multiply the following binomials using:

鈸� the Distributive Property

鈸� the FOIL method

鈸� the Vertical Method.

$(w + 5) (w + 7)$

Simplify the polynomial.

$(4 m^{2} 鈥� 鈭� 鈥� 3 m 鈥� 鈭� 鈥� 7) m^{2}$

Multiply: $(a + 10) (a + 7)$

In the following exercises, multiply the binomials. Use any method.

$(a + b) (2 a + 3 b)$

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