Explanation Given information: The provided expression is − 2 x 5 ( x 7 ) + ( x 3 ) 4 − ( 4 x 5 ) 2 ( − x 2 ) . Formula used: The power rule for any arbitrary number x and positive integer p and q is: ( x p ) q = x p q For any arbitrary number x not equal to 0and integer p , the negative exponent is, x − p = 1 x p . To raise product to power for any arbitrary numbers x and y positive integer p is: ( x y ) p = x p y p The product rule for any arbitrary number x and positive integers p and q is: x p ⋅ x q = x p + q Calculation: Consider the expression, − 2 x 5 ( x 7 ) + ( x 3 ) 4 − ( 4 x 5 ) 2 ( − x 2 ) . Apply the formula, to raise product to power for any arbitrary numbers x and y positive integer p is: ( x y ) p = x p y p − 2 x 5 ( x 7 ) + ( x 3 ) 4 − ( 4 x 5 ) 2 ( − x 2 ) = − 2 x 5 ( x 7 ) + ( x 3 ) 4 − 4 2 ( x 5 ) 2 ( − 1 ) 2 ( x 2 ) Now, in the expression − 2 x 5 ( x 7 ) + ( x 3 ) 4 − 4 2 ( x 5 ) 2 ( − 1 ) 2 ( x 2 ) substitute 16 for 4 2 and 1 for ( − 1 ) 2

Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)

7th Edition

ISBN: 9780134462707

Author: Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

Publisher: PEARSON

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 4, Problem 42CR

To determine

To calculate: The simplified form of the expression −2x5(x7)+(x3)4−(4x5)2(−x2).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4, Problem 41CR

Chapter 5.1, Problem 1YT

Chapter 4 Solutions

Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)

Ch. 4.1 - Multiply and simplify: x5xx4 Ch. 4.1 - Divide and simplify: (x+p)6(x+p).Ch. 4.1 - Simplify: 990.Ch. 4.1 - 4. Simplify: . Ch. 4.1 - 5. Simplify: . Ch. 4.1 - Simplify: (3a3)2.Ch. 4.1 - Each of the following statements is an example of...Ch. 4.1 - Each of the following statements is an example of...Ch. 4.1 - Prob. 3CYU Ch. 4.1 - Each of the following statements is an example of...

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The simplified form of the expression − 2 x 5 ( x 7 ) + ( x 3 ) 4 − ( 4 x 5 ) 2 ( − x 2 ) .

Solution Summary: The author explains how to calculate the simplified form of the expression -2x5left, plus the negative exponent for arbitrary numbers p and q.

Concept explainers

Videos

To calculate: The simplified form of the expression −2x5(x7)+(x3)4−(4x5)2(−x2).

Want to see the full answer?

Chapter 4 Solutions