a. Answer The simplified expression is 35 5 x . Explanation Given information: The expression is 2 20 x 2 + 5 125 x 2 . Calculation: The expression 2 20 x 2 + 5 125 x 2 write as, 2 20 x 2 + 5 125 x 2 = 2 4 ⋅ 5 ⋅ x 2 + 5 25 ⋅ 5 ⋅ x 2 = 2 2 2 ⋅ 5 ⋅ x 2 + 5 5 2 ⋅ 5 ⋅ x 2 = 2 ⋅ 5 ⋅ x 5 + 5 ⋅ 5 ⋅ x 5 [ ∵ n 2 = n ] = 10 5 x + 25 5 x Combine like terms, = 35 5 x b. To determine To simplify the expression. Answer The simplified expression is 44 3 x . Explanation Given information: The expression is 8 147 x − 3 48 x . Calculation: The expression 8 147 x − 3 48 x write as, 8 147 x − 3 48 x = 8 49 ⋅ 3 ⋅ x − 3 16 ⋅ 3 ⋅ x = 8 7 2 ⋅ 3 ⋅ x − 3 4 2 ⋅ 3 ⋅ x = 8 ⋅ 7 3 ⋅ x − 3 ⋅ 4 3 ⋅ x [ ∵ n 2 = n ] = 56 3 x − 12 3 x Combine like terms = 44 3 x

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in re…

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.

Question

Chapter A.2, Problem 49E

To determine

To simplify the expression.

Expert Solution

Answer to Problem 49E

The simplified expression is 355x .

Explanation of Solution

Given information:

The expression is 220x2+5125x2 .

Calculation:

The expression 220x2+5125x2 write as,

220x2+5125x2=24⋅5⋅x2+525⋅5⋅x2=222⋅5⋅x2+552⋅5⋅x2=2⋅5⋅x5+5⋅5⋅x5 [∵n2=n]=105x+255x

Combine like terms,

=355x

To determine

To simplify the expression.

Expert Solution

Answer to Problem 49E

The simplified expression is 443x .

Explanation of Solution

Given information:

The expression is 8147x−348x .

Calculation:

The expression 8147x−348x write as,

8147x−348x=849⋅3⋅x−316⋅3⋅x=872⋅3⋅x−342⋅3⋅x=8⋅73⋅x−3⋅43⋅x [∵n2=n]=563x−123x

Combine like terms

=443x

Chapter A.2, Problem 48E

Chapter A.2, Problem 50E

Chapter A Solutions

EBK PRECALCULUS W/LIMITS

Ch. A.1 - Prob. 1E Ch. A.1 - Prob. 2E Ch. A.1 - Prob. 3E Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - Prob. 9E Ch. A.1 - Prob. 10E

Ch. A.1 - Prob. 11E Ch. A.1 - Prob. 12E Ch. A.1 - Prob. 13E Ch. A.1 - Prob. 14E Ch. A.1 - Prob. 15E Ch. A.1 - Prob. 16E Ch. A.1 - Prob. 17E Ch. A.1 - Prob. 18E Ch. A.1 - Prob. 19E Ch. A.1 - Prob. 20E Ch. A.1 - Prob. 21E Ch. A.1 - Prob. 22E Ch. A.1 - Prob. 23E Ch. A.1 - Prob. 24E Ch. A.1 - Prob. 25E Ch. A.1 - Prob. 26E Ch. A.1 - Prob. 27E Ch. A.1 - Prob. 28E Ch. A.1 - Prob. 29E Ch. A.1 - Prob. 30E Ch. A.1 - Prob. 31E Ch. A.1 - Prob. 32E Ch. A.1 - Prob. 33E Ch. A.1 - Prob. 34E Ch. A.1 - Prob. 35E Ch. A.1 - Prob. 36E Ch. A.1 - Prob. 37E Ch. A.1 - Prob. 38E Ch. A.1 - Prob. 39E Ch. A.1 - Prob. 40E Ch. A.1 - Prob. 41E Ch. A.1 - Prob. 42E Ch. A.1 - Prob. 43E Ch. A.1 - Prob. 44E Ch. A.1 - Prob. 45E Ch. A.1 - Prob. 46E Ch. A.1 - Prob. 47E Ch. A.1 - Prob. 48E Ch. A.1 - Prob. 49E Ch. A.1 - Prob. 50E Ch. A.1 - Prob. 51E Ch. A.1 - Prob. 52E Ch. A.1 - Prob. 53E Ch. A.1 - Prob. 54E Ch. A.1 - Prob. 55E Ch. A.1 - Prob. 56E Ch. A.1 - Prob. 57E Ch. A.1 - Prob. 58E Ch. A.1 - Prob. 59E Ch. 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