Applying the reciprocal rule with negative exponents to simplify an expression

The video tutorial explains how to handle expressions with different operations, focusing on the application of powers and the distributive property. It covers the rules for expressions separated by multiplication and division, and contrasts them with those separated by addition and subtraction. The tutorial also delves into simplifying expressions with negative exponents and introduces the reciprocal rule for handling negative powers. Two methods for achieving the same results are discussed, providing a comprehensive understanding of the topic.

When can you apply a power to an expression?

• When the expression is a polynomial

• When the expression is a single term

• When the expression is separated by addition and subtraction

• When the expression is separated by multiplication and division

What is the correct way to simplify an expression with a negative exponent?

• Move the term with the negative exponent to the opposite part of the fraction

• Multiply the base by the negative exponent

• Add the negative exponent to the base

• Leave the negative exponent as it is

How do you make a negative exponent positive using the reciprocal rule?

• Multiply the base by 2

• Subtract 1 from the exponent

• Add 1 to the exponent

• Reciprocate the base

What happens to the power when you reciprocate a base with a negative exponent?

• The power doubles

• The power becomes positive

• The power becomes zero

• The power becomes negative

If you have a fraction raised to a negative power, what should you do first?

• Subtract the power from the denominator

• Add the power to the numerator

• Reciprocate the fraction

• Multiply the fraction by itself