Rewrite the following numbers as powers. 243. This guide delves into the concept of rewriting numbers as powers, providing a comprehensive overview and a detailed example using the number 243. By understanding the steps involved and the importance of checking your answers, you will gain a solid foundation in this mathematical operation.
This guide is designed to provide a clear and accessible explanation of rewriting numbers as powers, empowering you to tackle similar problems with confidence. Whether you are a student seeking to enhance your mathematical skills or a professional seeking to refresh your knowledge, this guide will serve as a valuable resource.
Rewrite the Number as a Power
Rewriting a number as a power involves expressing the number as the product of equal factors. For instance, the number 8 can be rewritten as 2 3, which means 2 multiplied by itself 3 times (2 x 2 x 2).
To rewrite a number as a power, find the factor that is multiplied by itself to get the original number. Then, the exponent of the power is the number of times the factor is multiplied.
Rewrite 243 as a Power, Rewrite the following numbers as powers. 243
To rewrite 243 as a power, we need to find the factor that is multiplied by itself to get 243.
We can see that 3 multiplied by itself 5 times (3 x 3 x 3 x 3 x 3) equals 243.
Therefore, 243 can be rewritten as 3 5.
Check Your Answer
To check if the answer is correct, we can calculate the value of 3 5.
3 5= 3 x 3 x 3 x 3 x 3 = 243
Since the result is equal to the original number, we can conclude that the answer is correct.
Practice Problems
Rewrite the following numbers as powers:
- 16
- 125
- 64
Answers:
- 16 = 2 4
- 125 = 5 3
- 64 = 2 6
Answers to Common Questions: Rewrite The Following Numbers As Powers. 243
What is the purpose of rewriting numbers as powers?
Rewriting numbers as powers simplifies mathematical expressions, making them easier to understand and manipulate. It also allows for efficient calculations and provides insights into the relationships between numbers.
How do I check my answer when rewriting a number as a power?
To check your answer, simply multiply the base by itself the number of times indicated by the exponent. If the result matches the original number, your answer is correct.
Can I rewrite any number as a power?
Yes, any number can be rewritten as a power. However, the base and exponent may vary depending on the number.
