Pre-Algebra 22 - Exponents of One, Zero, and Negative

Professor Von Schmohawk explains exponentiation as repeated multiplication, covering the rules for multiplying and dividing exponential expressions with the same base. He discusses the meaning of exponents of one and zero, highlighting that any number to the first power is itself, and any number to the zero power is one, except zero to the zero power, which is undefined. The lecture also covers negative exponents, showing they represent the reciprocal of the base raised to the positive exponent. The video concludes with a preview of the next lecture on scientific notation.

What is the result when you multiply two exponential expressions with the same base?

• You multiply the exponents.

• You add the exponents.

• You subtract the exponents.

• You divide the exponents.

What is the value of any non-zero number raised to the power of zero?

• Undefined

• Zero

• One

• The number itself

Why is zero raised to the power of zero considered undefined?

• Because it is not a number

• Because it equals zero

• Because it equals one

• Because it can be both zero and one

What does a negative exponent indicate about the base?

• The base is negative

• The base is zero

• The reciprocal of the base raised to the positive exponent

• The base is squared

Why can't zero have a negative exponent?

• Because it is undefined

• Because it would mean dividing by zero

• Because it would result in one

• Because it would result in zero