Writing the reciprocal of a fraction to write an expression with a positive power

The video tutorial explains how to simplify expressions with negative exponents using two methods: distributing the negative exponent across terms and using the reciprocal rule. The instructor demonstrates how to apply the power to quotient rule and emphasizes the importance of understanding reciprocals. By taking the reciprocal of a fraction and raising it to a positive power, students can simplify expressions effectively. The tutorial concludes by summarizing the different approaches to achieve the same solution.

What is one method to simplify an expression with a negative exponent?

• Multiply the base by zero

• Distribute the negative exponent across the terms

• Ignore the negative sign

• Add the negative exponent to the base

What does the rule of reciprocals state about negative exponents?

• Negative exponents should be added to the base

• Negative exponents can be converted to positive by taking the reciprocal

• Negative exponents should be multiplied by zero

• Negative exponents can be ignored

How can you rewrite A^(-B) using the rule of reciprocals?

• A^B

• 1 / A^B

• A / B

• B / A

What is the reciprocal of a fraction A/B?

• B/A

• A/B

• 1/B

• 1/A

When simplifying A^(-5) / B^(-5), what is the correct approach?

• Multiply both by zero

• Ignore the negative signs

• Place A^(-5) in the denominator and B^(-5) in the numerator

• Place A^(-5) in the numerator and B^(-5) in the denominator