Given:
[tex]4^0, (-2)^0,\left(\dfrac{1}{3}\right)^0, 9^0[/tex]
To find:
The statement that describes what these four powers have in common.
Solution:
We know that,
[tex]x^0=1[/tex]
where, x is any real number.
Using the above property, we get
[tex]4^0=1[/tex]
[tex](-2)^0=1[/tex]
[tex]\left(\dfrac{1}{3}\right)^0=1[/tex]
[tex] 9^0[/tex]
Therefore, all the powers have a value of 1 because the exponent is zero.