Understanding Negative Exponents

The video tutorial explains how to handle negative exponents by visualizing them as being on the wrong floor of a fraction. It provides examples to demonstrate moving terms with negative exponents to the opposite part of the fraction to make them positive. The tutorial also covers how to simplify expressions with both positive and negative exponents, including handling double negatives by either subtracting exponents or moving terms to simplify.

What does a negative exponent indicate about the position of a term in a fraction?

• It is on the wrong floor and needs to be moved.

• It should be added to the numerator.

• It should be squared.

• It should be multiplied by zero.

How do you simplify 5 to the power of -3?

• Add 3 to the exponent.

• Move it to the denominator and make the exponent positive.

• Multiply it by 5.

• Move it to the numerator.

When multiplying like bases, what should you do with the exponents?

• Add them.

• Ignore them.

• Divide them.

• Subtract them.

In the expression 4 to the -5 over 4 to the -3, what is one method to simplify it?

• Add the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Divide the exponents.

What is the result of subtracting -3 from -5 in the context of exponents?

• -2

• 8

• -8

• 2

What happens to a term with a negative exponent when you move it to the opposite floor?

• It remains unchanged.

• The exponent becomes negative.

• The exponent becomes positive.

• It becomes zero.

How can you simplify an expression by canceling like terms?

• By adding more terms.

• By multiplying the terms.

• By moving terms to the opposite floor.

• By canceling terms that appear in both the numerator and denominator.

What is the result of 4 to the power of -2?

• 8

• 1/8

• 16

• 1/16

What is the alternative method to handle negative exponents discussed in the video?

• Changing floors and canceling like terms.

• Adding exponents.

• Ignoring the negative sign.

• Multiplying exponents.

What is the final simplified form of 4 to the -5 over 4 to the -3?

• 1/4^2

• 4^2

• 1/4^8

• 4^8