Evaluate The Expression Using A Calculator. Round Your Answer To Two Decimal Places When Appropriate.$\[ 86^{-5/6} \approx \square \\]

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Introduction

In this article, we will evaluate the expression 86−5/686^{-5/6} using a calculator and round the answer to two decimal places when necessary. This problem involves exponentiation and negative exponents, which can be challenging to solve manually. However, with the help of a calculator, we can easily find the value of the expression.

Understanding the Expression

The given expression is 86−5/686^{-5/6}. To evaluate this expression, we need to understand the concept of negative exponents. A negative exponent indicates that we need to take the reciprocal of the base raised to the positive exponent. In this case, we have 86−5/686^{-5/6}, which can be rewritten as 1865/6\frac{1}{86^{5/6}}.

Evaluating the Expression Using a Calculator

To evaluate the expression using a calculator, we can follow these steps:

  1. Enter the expression: Type the expression 86−5/686^{-5/6} into the calculator.
  2. Use the exponent key: Use the exponent key to raise 86 to the power of −5/6-5/6.
  3. Take the reciprocal: Take the reciprocal of the result to get the final answer.

Using a Scientific Calculator

A scientific calculator can be used to evaluate the expression 86−5/686^{-5/6}. Here's how to do it:

  1. Enter the expression: Type the expression 86−5/686^{-5/6} into the calculator.
  2. Use the exponent key: Use the exponent key to raise 86 to the power of −5/6-5/6.
  3. Take the reciprocal: Take the reciprocal of the result to get the final answer.

Using a Graphing Calculator

A graphing calculator can also be used to evaluate the expression 86−5/686^{-5/6}. Here's how to do it:

  1. Enter the expression: Type the expression 86−5/686^{-5/6} into the calculator.
  2. Use the exponent key: Use the exponent key to raise 86 to the power of −5/6-5/6.
  3. Take the reciprocal: Take the reciprocal of the result to get the final answer.

Rounding the Answer to Two Decimal Places

When evaluating the expression 86−5/686^{-5/6}, we may get a result with more than two decimal places. To round the answer to two decimal places, we can use the calculator's rounding feature.

Example Calculation

Let's use a scientific calculator to evaluate the expression 86−5/686^{-5/6}.

  1. Enter the expression: Type the expression 86−5/686^{-5/6} into the calculator.
  2. Use the exponent key: Use the exponent key to raise 86 to the power of −5/6-5/6.
  3. Take the reciprocal: Take the reciprocal of the result to get the final answer.

The result is approximately 0.23.

Conclusion

In this article, we evaluated the expression 86−5/686^{-5/6} using a calculator and rounded the answer to two decimal places when necessary. We used a scientific calculator and a graphing calculator to evaluate the expression and took the reciprocal of the result to get the final answer. The result is approximately 0.23.

Frequently Asked Questions

Q: What is the value of 86−5/686^{-5/6}?

A: The value of 86−5/686^{-5/6} is approximately 0.23.

Q: How do I evaluate the expression 86−5/686^{-5/6} using a calculator?

A: To evaluate the expression 86−5/686^{-5/6} using a calculator, type the expression into the calculator, use the exponent key to raise 86 to the power of −5/6-5/6, and take the reciprocal of the result.

Q: Why do I need to take the reciprocal of the result?

A: Taking the reciprocal of the result is necessary because the expression 86−5/686^{-5/6} has a negative exponent, which indicates that we need to take the reciprocal of the base raised to the positive exponent.

Q: How do I round the answer to two decimal places?

A: To round the answer to two decimal places, use the calculator's rounding feature.

References

Further Reading

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Introduction

In our previous article, we evaluated the expression 86−5/686^{-5/6} using a calculator and rounded the answer to two decimal places when necessary. In this article, we will answer some frequently asked questions related to evaluating expressions using a calculator.

Q&A

Q: What is the value of 86−5/686^{-5/6}?

A: The value of 86−5/686^{-5/6} is approximately 0.23.

Q: How do I evaluate the expression 86−5/686^{-5/6} using a calculator?

A: To evaluate the expression 86−5/686^{-5/6} using a calculator, type the expression into the calculator, use the exponent key to raise 86 to the power of −5/6-5/6, and take the reciprocal of the result.

Q: Why do I need to take the reciprocal of the result?

A: Taking the reciprocal of the result is necessary because the expression 86−5/686^{-5/6} has a negative exponent, which indicates that we need to take the reciprocal of the base raised to the positive exponent.

Q: How do I round the answer to two decimal places?

A: To round the answer to two decimal places, use the calculator's rounding feature.

Q: Can I use a graphing calculator to evaluate the expression 86−5/686^{-5/6}?

A: Yes, you can use a graphing calculator to evaluate the expression 86−5/686^{-5/6}. Simply type the expression into the calculator, use the exponent key to raise 86 to the power of −5/6-5/6, and take the reciprocal of the result.

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

A: A scientific calculator is designed to perform scientific calculations, such as trigonometric functions, logarithms, and exponents. A graphing calculator, on the other hand, is designed to graph functions and perform advanced mathematical calculations.

Q: Can I use a calculator to evaluate expressions with fractions?

A: Yes, you can use a calculator to evaluate expressions with fractions. Simply type the expression into the calculator, and it will perform the calculation and display the result.

Q: How do I enter a fraction into a calculator?

A: To enter a fraction into a calculator, type the numerator and denominator separated by a slash. For example, to enter the fraction 1/2, type "1/2" into the calculator.

Q: Can I use a calculator to evaluate expressions with decimals?

A: Yes, you can use a calculator to evaluate expressions with decimals. Simply type the expression into the calculator, and it will perform the calculation and display the result.

Q: How do I enter a decimal into a calculator?

A: To enter a decimal into a calculator, type the decimal value directly into the calculator. For example, to enter the decimal value 0.5, type "0.5" into the calculator.

Conclusion

In this article, we answered some frequently asked questions related to evaluating expressions using a calculator. We covered topics such as evaluating expressions with negative exponents, rounding answers to two decimal places, and using graphing calculators to evaluate expressions.

Frequently Asked Questions

Q: What is the value of 86−5/686^{-5/6}?

A: The value of 86−5/686^{-5/6} is approximately 0.23.

Q: How do I evaluate the expression 86−5/686^{-5/6} using a calculator?

A: To evaluate the expression 86−5/686^{-5/6} using a calculator, type the expression into the calculator, use the exponent key to raise 86 to the power of −5/6-5/6, and take the reciprocal of the result.

Q: Why do I need to take the reciprocal of the result?

A: Taking the reciprocal of the result is necessary because the expression 86−5/686^{-5/6} has a negative exponent, which indicates that we need to take the reciprocal of the base raised to the positive exponent.

Q: How do I round the answer to two decimal places?

A: To round the answer to two decimal places, use the calculator's rounding feature.

References

Further Reading