As long as x is not zero,
x0
is defined to be equal to . Using this definition,
30 = , (7x4)0 =
, and
−5x0 =
To evaluate expressions involving x0, we need to understand the meaning of x0 when x is not equal to zero.
By definition, x0 is equal to 1 for any value of x as long as x is not zero. This means that any expression with x0, where x is not zero, can be simplified to 1.
Let's evaluate the given expressions:
1) 30 =
To evaluate this expression, we substitute x0 with 1 since x is not zero. Therefore, we have:
30 = 1
So, the result is 30.
2) (7x4)0 =
In this expression, we have (7x4), which is equal to 28. Since x is not zero, we substitute x0 with 1, which gives us:
(7x4)0 = 28^1
The result is 28.
3) −5x0 =
With the same logic, we substitute x0 with 1 because x is not zero:
−5x0 = −5(1)
The result is −5.