Catalyst University Math: Proof that 0 to the 0 Power (0^0) is 1

The video explains why zero to the zeroth power equals one. It begins with a review of exponent rules, then poses the question of zero to the zeroth power. The proof involves expressing the problem as a limit and using calculus, specifically L'Hopital's Rule, to solve it. The conclusion is that zero to the zeroth power is indeed one.

What does three to the fourth power mean?

• Three added four times

• Three multiplied by four

• Three divided by four

• Three multiplied by itself four times

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

• Infinity

• The number itself

• One

• Zero

What mathematical concept is used to evaluate zero to the zeroth power?

• Calculus

• Trigonometry

• Algebra

• Geometry

What is the limit expression used to evaluate zero to the zeroth power?

• Limit of x squared as x approaches zero

• Limit of x raised to the x power as x approaches zero

• Limit of x as x approaches infinity

• Limit of x divided by zero

What is the indeterminate form encountered in the evaluation of zero to the zeroth power?

• Zero divided by zero

• Infinity minus infinity

• Zero times negative infinity

• Zero times zero

Which rule is applied to solve the indeterminate form in this context?

• Pythagorean Theorem

• L'Hopital's Rule

• Chain Rule

• Product Rule

What is the final conclusion about zero to the zeroth power?

• It is zero

• It is infinity

• It is undefined

• It is one