Zero and Negative Exponents: Evaluating Expressions

The video tutorial covers evaluating expressions with zero and negative exponents. It explains that any non-zero number raised to the power of zero equals one, while a base of zero with an exponent of zero is undefined. Negative exponents represent reciprocals, and the video provides examples and practice problems to reinforce these concepts. The tutorial also explores algebraic expressions involving exponents, emphasizing the importance of converting negative exponents to positive by using reciprocals.

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

• 1

• Undefined

• The number itself

• 0

What does a negative exponent indicate?

• A negative result

• The base divided by itself

• The base multiplied by itself

• The reciprocal of the base raised to the positive exponent

How do you simplify 4 to the power of negative 2?

• 1 over 4 squared

• 4 squared

• 4 to the power of 2

• 1 over 4

When multiplying expressions with the same base, what should you do with the exponents?

• Multiply them

• Divide them

• Subtract them

• Add them

What is the simplified form of 2 to the power of negative 3?

• 8

• 1/8

• 2/3

• 3/2

In algebraic expressions, why is it important to clear negative exponents?

• To change the base

• To increase the exponent value

• To make the expression more complex

• To achieve the simplest form

What is the reciprocal of x to the power of negative 3?

• x cubed

• x to the power of 3

• 1 over x cubed

• 3 over x