Which statement describes what these four powers have in common? 4 Superscript 0 (negative 2) Superscript 0 (one-third) Superscript 0 9 Superscript 0

Respuesta :

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.