Question

Which statement describes what these four powers have in common?

40
(-2)⁰
(3)
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.

Answer 1

The answer is:

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

Work/explanation:

If a number has an exponent of zero, it's equal to 1, because of the following exponent law:

`\sf{m^0=1}`

where m is a number.

For example:

`\sf{2^0=1}`

`\sf{-3^0=1}`

`\sf{\bigg((18)/(43)\bigg)^0=1`

Therefore, the right answer is :

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