Problem 80 Perform the indicated operations... [FREE SOLUTION]

91影视

Prealgebra

Charles P. McKeague

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 2: Problem 80

Perform the indicated operations. $$6^{2}$$

Short Answer

Expert verified

The result of $6^2$ is 36.

Step by step solution

Understand Exponent Notation

The expression provided is $6^2$, which means that "6" is the base and "2" is the exponent. The exponent tells us how many times to multiply the base by itself.

Apply Exponentiation

To solve $6^2$, multiply the base by itself the number of times indicated by the exponent. In this case, multiply 6 by itself once: $6 \times 6$.

Calculate the Product

Now, perform the multiplication: $6 \times 6 = 36$. This gives us the result of $6^2$.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Base and Exponent

Understanding the concepts of base and exponent is essential when dealing with exponentiation. In mathematical expressions like $6^2$, the number 6 is called the **base**. The base is the number that will be multiplied.The number 2, positioned as a small numeral to the top right of the base, is the **exponent**. The exponent tells us how many times the base is multiplied by itself. For example, in this case:

Base = 6
Exponent = 2

By clearly understanding base and exponent, you will find most exponentiation problems easy to solve.

Multiplication

To solve exponentiation problems like $6^2$, you need to understand multiplication. The process of exponentiation is essentially repeated multiplication of the base.In our example, $6^2$ signifies multiplying the base by itself according to the number of times specified by the exponent. Here, perform the operation:

Step 1: Identify the base (6)
Step 2: Multiply 6 by itself, since the exponent is 2: $6 \times 6$

Once you've completed this multiplication step, you get the result quicker, making more complex calculations manageable.

Power of a Number

The term "power of a number" refers to the result obtained when a number (the base) is raised to the power of an exponent. For $6^2$, you find the power by multiplying as per the guidelines of exponentiation. The expression $6^2$ becomes the power of 6 owing to the exponent 2. This is understood as the product of 6 multiplied two times:

First multiplication: $6 \times 6 = 36$

Hence, $6^2 = 36$, which is the power of the number 6 when squared.Recognizing a power as the output of multiplying the base according to its exponent helps reinforce your grasp on foundational math skills. This comprehension simplifies handling powers of numbers in various mathematical scenarios.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Perform the indicated operations. $$6^{2}$$

Short Answer

Step by step solution

Understand Exponent Notation

Apply Exponentiation

Calculate the Product

Key Concepts

Base and Exponent

Multiplication

Power of a Number

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Probability and Statistics

Discrete Mathematics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.