Question

How much is 0 x , where x is any non-zero number? How much is 0 x for any positive power of x? How much is 0 0 ? Explain.

Answer 1

Explanation:

The value X° where x is non zero number will give a value of 1 because any value raise to the power of zero gives 1.

For example if X = 2, 2° = 1

For the expression 0^x, this will result into zero for any positive power of x. Let x be 3 for example,

0³ = 0×0×0

0³ = 0

Also if x = 4

0⁴ = 0×0×0×0 = 0

Therefore, no matter the value of x, rge value 0^x will return back zero.

For 0^0 this value is an indeterminate function i.e we cannot determine the the value. The value cannot return Amy positive or negative real number on the number line. Hence 0^0 is indeterminate.