Exploring Zero and Negative Exponents in Algebra

The video tutorial explains the concept of zero exponents, stating that any number raised to the power of zero equals one. It then introduces the rule for handling negative exponents, which involves moving the base to the opposite location in a fraction and making the exponent positive. The tutorial provides several examples to illustrate these rules and concludes with practice problems to reinforce understanding.

What is the result of any number raised to the zero power?

• Undefined

• 1

• 0

• The number itself

If you have 275 raised to the zero power, what is the result?

• 1

• 275

• Undefined

• 0

What should you do with a term raised to the zero power inside a larger problem?

• Multiply it by zero

• Leave it as it is

• Cross it out

• Divide it by zero

What is the rule for handling bases with negative exponents?

• Move them to the opposite location and make the exponent positive

• Add one to the exponent

• Multiply them by zero

• Leave them as they are

Where should a base with a negative exponent in the numerator be moved?

• To the left

• To the right

• It should stay in the numerator

• To the denominator

In the expression 2x^5 / y^-4, where should y^-4 be moved?

• It should be removed

• It should stay in the denominator

• To the numerator and make the exponent positive

• To the numerator and keep the exponent negative

In the expression 4x^-3 / 5y^-2, where should x^-3 be moved?

• To the numerator

• To the denominator and make the exponent positive

• It should stay in the numerator

• It should be removed

In the expression 4x^-3 / 5y^-2, where should y^-2 be moved?

• It should be removed

• It should stay in the denominator

• To the denominator

• To the numerator and make the exponent positive

In the expression -6x^-3y^4 / 7z^5, where should x^-3 be moved?

• It should be removed

• It should stay in the numerator

• To the numerator and keep the exponent negative

• To the denominator and make the exponent positive

In the expression 2x^0y^-3 / 7z^4, what should be done with x^0?

• Move it to the denominator

• Leave it as it is

• Multiply it by zero

• Cross it out