Which statement describes what these four powers have in common?

Question

40
(−2)0
(1/3)0
90



(1 point)
Responses

All the powers have a value of 0 because the exponent is zero.
All the powers have a value of 0 because the exponent is zero.

All the powers have a value of 1 because the exponent is zero.
All the powers have a value of 1 because the exponent is zero.

All the powers have a fractional value because the exponent is zero.
All the powers have a fractional value because the exponent is zero.

All the powers have a value of –1 because the exponent is zero.

Answer 1

The correct statement is:

All the powers have a value of 1 because the exponent is zero.

According to the rules of exponents, any non-zero number raised to the power of 0 is equal to 1. This applies to all the powers you listed:

• \(40^0 = 1\)
• \((-2)^0 = 1\)
• \((1/3)^0 = 1\)
• \(90^0 = 1\)

So, all these expressions evaluate to 1.