Properties of Exponents and Reciprocals

The video tutorial explains the negative exponent property, which involves taking the reciprocal of a base raised to a negative power. It provides examples to illustrate this concept, such as converting 3^-2 to 1/3^2, resulting in 1/9. The tutorial also covers the zero exponent property, stating that any base raised to the zero power equals one, regardless of the base. Examples include x^0 = 1 and 3^0 = 1.

What does the negative exponent property state?

• A base raised to a negative power is zero.

• A base raised to a negative power is the reciprocal of the base raised to the positive power.

• A base raised to a negative power is negative.

• A base raised to a negative power is the same as the base raised to the zero power.

How would you express 3^-2 using the negative exponent property?

• 3^-2

• 1/3^2

• 3^2

• 1/3

What is the reciprocal of 1/2?

• 0.5

• 1

• 2

• 1/2

If you have 3^-2 over 2^-2, what is the simplified result?

• 3/2

• 4/9

• 2/3

• 9/4

What does the zero exponent property state?

• Any base raised to the zero power is negative.

• Any base raised to the zero power is the base itself.

• Any base raised to the zero power is zero.

• Any base raised to the zero power is one.

What is the result of 3^0?

• 3

• 0

• 1

• Undefined