Simplifying Exponents and Expressions

The video tutorial explains how to handle negative exponents in mathematical expressions. It covers moving terms with negative exponents in fractions, simplifying expressions by rearranging terms, and performing operations on like bases by adding or subtracting exponents. The tutorial provides a step-by-step approach to solving an example problem, ensuring a clear understanding of the concepts involved.

What is the initial problem involving negative exponents in the given expression?

• p to the negative 8 and q to the negative 10

• p to the positive 8 and q to the positive 10

• p to the negative 2 and q to the negative 12

• p to the positive 2 and q to the positive 12

What happens to a term with a negative exponent when simplifying a fraction?

• It is divided by 2

• It stays in the same position

• It is moved to the opposite side of the fraction

• It is multiplied by 2

Where is the term 7 to the negative 2 moved during simplification?

• It is removed from the expression

• It is multiplied by q

• It is moved to the top

• It remains at the bottom

What is the base of the term that remains unchanged during the simplification?

• q to the 12th

• q to the 10th

• p to the 2nd

• p to the 8th

Which term is moved to the top during the simplification process?

• p to the 2nd

• 7 to the negative 2

• q to the 10th

• p to the 8th

What is the result of 7 squared?

• 21

• 64

• 49

• 14

How do you combine like bases when multiplying?

• Add their exponents

• Subtract their exponents

• Multiply their exponents

• Divide their exponents

What is the simplified form of p to the 8th times p to the 2nd?

• p to the 16th

• p to the 6th

• p to the 10th

• p to the 12th

What do you do with exponents when dividing like bases?

• Add them

• Subtract them

• Divide them

• Multiply them

Where does the result go when you subtract exponents of like bases?

• Where the larger exponent was

• Where the smaller exponent was

• In the denominator

• In the numerator