Explanation Given: b 4 ⋅ b 3 and ( b 4 ) 3 Concept used: The number x n can be written in expanded form by multiplying the number x by itself n -times. That is, the number can be written as x n = x ⋅ x ⋅ .... ⋅ x ︸ n times . Calculation: Considering the first expression, b 4 ⋅ b 3 . The number b 4 has exponent 4, multiply the base b by itself 4-times to get the expanded from b 4 . That is, b 4 = b ⋅ b ⋅ b ⋅ b . Similarly, b 3 = b ⋅ b ⋅ b . Therefore, the expanded form of the expression b 4 ⋅ b 3 can be written as ( b ⋅ b ⋅ b ⋅ b ) ( b ⋅ b ⋅ b ) . Now, simplify b 4 ⋅ b 3 . b 4 ⋅ b 3 = ( b ⋅ b ⋅ b ⋅ b ) ( b ⋅ b ⋅ b ) = b ⋅ b ⋅ b ⋅ b ⋅ b ⋅ b ⋅ b = b 7 ( Since b is multiplied to itself 7 times ) Consider the second expression ( b 4 ) 3 . In the number ( b 4 ) 3 , the base is b 4 and the exponent is 3. That means, multiply b 4 with itself 3 times. ( b 4 ) 3 = ( b 4 ) ⋅ ( b 4 ) ⋅ ( b 4 ) Again, write each b 4 in its expanded form to get the final expanded form of ( b 4 ) 3

6th Edition

ISBN: 9781264120697

Author: Miller

Publisher: MCG

See similar textbooks

Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

Videos

Question

Chapter 4.1, Problem 2PE

To determine

The expression in expanded form and simplify the expression.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.1, Problem 1PE

Chapter 4.1, Problem 3PE

Students have asked these similar questions

How long is a guy wire reaching from the top of a 15-foot pole to a point on the ground 9-feet from the pole? Question content area bottom Part 1 The guy wire is exactly feet long. (Type an exact answer, using radicals as needed.) Part 2 The guy wire is approximatelyfeet long. (Round to the nearest thousandth.)

Question 6 Not yet answered Marked out of 5.00 Flag question = If (4,6,-11) and (-12,-16,4), = Compute the cross product vx w k

Consider the following vector field v^-> (x,y): v^->(x,y)=2yi−xj What is the magnitude of the vector v⃗ located in point (13,9)? [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places]

Chapter 4 Solutions

INTERMEDIATE ALG.-ALEKS 18 WEEKS

Ch. 4.1 - a. A(n)_____________ is used to show repeated...Ch. 4.1 - Prob. 2PE Ch. 4.1 - Prob. 3PE Ch. 4.1 - Prob. 4PE Ch. 4.1 - For exercises 4-9, write an example of each...Ch. 4.1 - Prob. 6PE Ch. 4.1 - Prob. 7PE Ch. 4.1 - Prob. 8PE Ch. 4.1 - Prob. 9PE Ch. 4.1 - Prob. 10PE

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.