Introduction
Welcome to our comprehensive lesson 2 homework practice powers and exponents answer key guide. In this article, we will delve into the world of powers and exponents, providing you with the necessary tools to ace your homework. Whether you're a student struggling with understanding the concepts or a parent looking to assist your child, this guide has got you covered. So let's jump right in!
Understanding Powers
Before we dive into the homework practice, let's make sure we have a solid understanding of powers. In mathematics, a power is a way of expressing a number multiplied by itself multiple times. It consists of two parts: the base and the exponent.
The Base
The base is the number that is being multiplied by itself. For example, in the expression 2^3, the base is 2.
The Exponent
The exponent is the number that indicates how many times the base is multiplied by itself. In the expression 2^3, the exponent is 3.
Calculating Powers
To calculate a power, you simply multiply the base by itself as many times as the exponent indicates. Let's take a look at an example:
2^3 = 2 * 2 * 2 = 8
Lesson 2 Homework Practice Powers and Exponents
Now that we have a solid understanding of powers and exponents, let's move on to the lesson 2 homework practice. This practice is designed to reinforce your understanding and provide you with the opportunity to apply your knowledge.
Answer Key
Below, you will find the answer key for the lesson 2 homework practice on powers and exponents. Use this as a reference to check your work and ensure that you're on the right track.
Question 1
For the first question, you are asked to evaluate the expression 5^2. To do this, simply multiply 5 by itself:
5^2 = 5 * 5 = 25
Question 2
In question 2, you are given the expression 4^3. Apply the same process as before:
4^3 = 4 * 4 * 4 = 64
Question 3
For question 3, the expression is 2^4. Let's calculate:
2^4 = 2 * 2 * 2 * 2 = 16
Question 4
Next, we have the expression 10^2. Multiply 10 by itself:
10^2 = 10 * 10 = 100
Question 5
Question 5 asks you to evaluate the expression 3^3:
3^3 = 3 * 3 * 3 = 27
Question 6
The expression for question 6 is 7^2. Let's calculate:
7^2 = 7 * 7 = 49
Question 7
For question 7, you are given the expression 9^3. Multiply 9 by itself three times:
9^3 = 9 * 9 * 9 = 729
Question 8
Next, we have the expression 6^4. Calculate:
6^4 = 6 * 6 * 6 * 6 = 1296
Question 9
Question 9 asks you to evaluate the expression 2^5:
2^5 = 2 * 2 * 2 * 2 * 2 = 32
Question 10
Finally, for question 10, the expression is 8^2. Let's calculate:
8^2 = 8 * 8 = 64
Conclusion
Congratulations! You have successfully completed the lesson 2 homework practice on powers and exponents. By understanding the concepts of powers and exponents, you have gained a valuable mathematical skill. Remember, practice makes perfect, so continue to work on your skills and challenge yourself with more complex problems. With dedication and perseverance, you'll become a master of powers and exponents in no time!