Question

How do you simplify `4.98^0`?

Answer 1

`4.98^0=color(green)1`

Explanation:

Any number (excluding perhaps zero) to the power of `0` is equal to `1`

Consider the following sequence for any number `n` which is not zero:

`color(white)("XXX")n^4 = nxxnxxnxxn`

`color(white)("XXX")n^3=(n^4)/n=nxxnxxn`

`color(white)("XXX")n^2 = (n^3)/n=nxxn`

`color(white)("XXX")n^1=(n^2)/n=n`

`color(white)("XXX")n^0 = (n^1)/n = n/n =1`

...and we could continue on:

`color(white)("XXX")n^(-1) = (n^0)/n =1/n`

`color(white)("XXX")n^(-2)=(n^(-1))/n=1/(n^2)`

`color(white)("XXX")n^(-3)=(n^(-2))/n=1/(n^3)`

...and so on...

Answer 2

1

Explanation:

Another way of writing `4.98^0` is : `4.98/4.98 = 1`