Properties of Exponents

The video tutorial explains the negative and zero exponent properties. It describes how raising a base to a negative exponent involves taking the reciprocal of the base and raising it to the positive exponent. Several examples illustrate this concept. The zero exponent property is also covered, showing that any base raised to the zero power equals one, with examples provided for clarity.

What does the negative exponent property state?

• A base raised to a negative power is zero.

• A base raised to a negative power is negative.

• 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 the same as the base raised to the zero power.

What is the result of 3 raised to the power of -2?

• 9

• 1/9

• 1/3

• 3

How do you simplify the expression (3/2)^-2?

• 4/9

• 2/3

• 9/4

• 3/2

What does the zero exponent property state?

• Any base raised to the zero power is zero.

• Any base raised to the zero power is one.

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

• Any base raised to the zero power is negative.

What is the value of 25522 raised to the power of 0?

• 25522

• 0

• 1

• Undefined

If x is any non-zero number, what is x^0?

• 1

• 0

• x

• Undefined

What is the value of (1/3)^0?

• 1/3

• Undefined

• 0

• 1