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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q10. (page 71)

Evaluate the expression below.
$\frac{5^{3} 脳 4^{2} - 5^{2} 脳 4^{3}}{5 脳 4}$

Short Answer

Expert verified

The value of the given expression is 20

i.e.

$\frac{5^{3} 脳 4^{2} {-5}^{2} 脳 4^{3}}{5 脳 4} = 20$

Step by step solution

01

Step 1. Given Information.

Given that, the expression is-

$\frac{5^{3} 脳 4^{2} {-5}^{2} 脳 4^{3}}{5 脳 4}$

02

Step 2. Concept Used.

Before solving the whole expression

Firstly, write the values of $5^{3}, 鈥� 4^{2}, 鈥� 5^{2}, 鈥� 4^{3},$

Now,

role="math" localid="1641978690240" $5^{3} = 5 脳 5 脳 5 = 125 4^{2} = 4 脳 4 = 16 5^{2} = 5 脳 5 = 25 4^{3} = 4 脳 4 脳 4 = 64$

03

Step 3. Evaluate the given expression.

$\frac{5^{3} 脳 4^{2} {-5}^{2} 脳 4^{3}}{5 脳 4} = \frac{125 脳 16 -25 脳 64}{20} = \frac{2000 -1600}{20} = \frac{400}{20}$

Therefore,

$\frac{5^{3} 脳 4^{2} {-5}^{2} 脳 4^{3}}{5 脳 4} = 20$

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