Question

Which statement describes what these four powers have in common?

4^(0)
(-2)^(0)
(1/3)^(0)
9^(0)

A. All the powers have a value of 1 because the exponent is zero.
B. All the powers have a value of -1 because the expoent is zero.
C. All the powers have a value of 0 because the exponent is zero.
D. All the powers have a fractional value because the exponent is zero.

Answer 1

The correct statement is:

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

Any non-zero number raised to the power of 0 equals 1. Thus, \(4^0\), \((-2)^0\), \((1/3)^0\), and \(9^0\) all equal 1.