Evaluate The Expression Using A Calculator. Round Your Answer To The Nearest Whole Number.$\sqrt[5]{32,768} = \square$

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Introduction

In this article, we will evaluate the expression 32,7685\sqrt[5]{32,768} using a calculator and round our answer to the nearest whole number. This problem involves the use of a calculator to find the fifth root of a large number, and then rounding the result to the nearest whole number.

Understanding the Problem

The problem asks us to find the fifth root of 32,768. The fifth root of a number is a value that, when raised to the power of 5, gives the original number. In other words, if we have a number xx, then the fifth root of xx is a value yy such that y5=xy^5 = x. In this case, we need to find the fifth root of 32,768.

Using a Calculator

To evaluate the expression 32,7685\sqrt[5]{32,768} using a calculator, we can use the following steps:

  1. Enter the number 32,768 into the calculator.
  2. Choose the fifth root function on the calculator. This function is usually denoted by the symbol x5\sqrt[5]{x} or x1/5x^{1/5}.
  3. Press the calculate button to find the result.

Evaluating the Expression

Using a calculator, we can evaluate the expression 32,7685\sqrt[5]{32,768} as follows:

32,7685=32,7681/5=32,7680.2=32,768×0.2=6,553.6\sqrt[5]{32,768} = 32,768^{1/5} = 32,768^{0.2} = 32,768 \times 0.2 = 6,553.6

Rounding the Answer

The problem asks us to round our answer to the nearest whole number. To do this, we can use the following steps:

  1. Look at the decimal part of the answer. In this case, the decimal part is 0.6.
  2. Determine whether the decimal part is less than 0.5 or greater than or equal to 0.5. In this case, the decimal part is 0.6, which is greater than 0.5.
  3. Round the answer up to the nearest whole number. In this case, the answer is 6,554.

Conclusion

In this article, we evaluated the expression 32,7685\sqrt[5]{32,768} using a calculator and rounded our answer to the nearest whole number. We found that the fifth root of 32,768 is approximately 6,554.

Additional Information

The number 32,768 is a special number that has a unique property. It is equal to 2152^{15}, which means that it can be expressed as a power of 2. This property makes it easy to find the fifth root of 32,768 using a calculator.

Final Answer

The final answer is 6,554\boxed{6,554}.

Related Problems

If you are interested in solving more problems like this, here are some related problems that you can try:

  • Evaluate the expression 27,0003\sqrt[3]{27,000} using a calculator and round your answer to the nearest whole number.
  • Find the fifth root of 1,000,000 using a calculator and round your answer to the nearest whole number.
  • Evaluate the expression 16,0004\sqrt[4]{16,000} using a calculator and round your answer to the nearest whole number.

References

Note: The references provided are for general information purposes only and are not specific to the problem at hand.

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Introduction

In our previous article, we evaluated the expression 32,7685\sqrt[5]{32,768} using a calculator and rounded our answer to the nearest whole number. In this article, we will answer some frequently asked questions (FAQs) related to evaluating expressions using a calculator.

Q&A

Q: What is the difference between a calculator and a computer?

A: A calculator is a small electronic device that is designed to perform mathematical calculations, while a computer is a more powerful device that can perform a wide range of tasks, including calculations, data analysis, and more.

Q: How do I choose the right calculator for my needs?

A: When choosing a calculator, consider the type of calculations you will be performing most often. If you need to perform basic arithmetic operations, such as addition, subtraction, multiplication, and division, a simple calculator will suffice. If you need to perform more complex calculations, such as trigonometry or calculus, a more advanced calculator or a computer may be necessary.

Q: How do I use a calculator to evaluate an expression?

A: To use a calculator to evaluate an expression, follow these steps:

  1. Enter the expression into the calculator.
  2. Choose the correct operation on the calculator, such as addition, subtraction, multiplication, or division.
  3. Press the calculate button to find the result.

Q: What is the difference between a scientific calculator and a graphing calculator?

A: A scientific calculator is a type of calculator that is designed to perform scientific calculations, such as trigonometry, logarithms, and exponential functions. A graphing calculator is a type of calculator that is designed to graph functions and perform more advanced calculations.

Q: How do I use a calculator to round a number to the nearest whole number?

A: To use a calculator to round a number to the nearest whole number, follow these steps:

  1. Enter the number into the calculator.
  2. Choose the round function on the calculator.
  3. Press the calculate button to find the result.

Q: What is the difference between a calculator and a computer algebra system (CAS)?

A: A calculator is a small electronic device that is designed to perform mathematical calculations, while a computer algebra system (CAS) is a software program that can perform a wide range of mathematical tasks, including calculations, graphing, and solving equations.

Q: How do I use a calculator to evaluate an expression with a variable?

A: To use a calculator to evaluate an expression with a variable, follow these steps:

  1. Enter the expression into the calculator.
  2. Enter the value of the variable into the calculator.
  3. Press the calculate button to find the result.

Conclusion

In this article, we answered some frequently asked questions (FAQs) related to evaluating expressions using a calculator. We hope that this information is helpful to you in your mathematical endeavors.

Additional Information

Final Answer

The final answer is 6,554\boxed{6,554}.

Related Problems

If you are interested in solving more problems like this, here are some related problems that you can try:

  • Evaluate the expression 27,0003\sqrt[3]{27,000} using a calculator and round your answer to the nearest whole number.
  • Find the fifth root of 1,000,000 using a calculator and round your answer to the nearest whole number.
  • Evaluate the expression 16,0004\sqrt[4]{16,000} using a calculator and round your answer to the nearest whole number.

References