Question

5. The law aº =1 does not hold when a equals:

a) 0
b) 1
c)3/4
d)-4/3
​

Answer 1

Step-by-step explanation:

0⁰=1

but does not come into exception as this number cannot be considered liable, therefore it's undefined.

Answer 2

Keys

• Extension of exponent laws

When the exponent is 0.

Solution

Let's assume we have $a^n$.

Then,

$a^n\times a^0=a^{n+0}$

$a^n\times a^0=a^n$

Thus, $a^0$ is equal to one. But for $a=0$,

$0^n\times 0^0=0^n$

$0\times 0^0=0$

Hence we cannot define $0^0$ by dividing both sides.