Question

Question 3(iv)
Say true or false and justify your answer:
(iv) $3^0=(1000{)}^0$

Answer 1

Consider, $3^0=(1000{)}^0$

L.H.S. is $3^0=1$ [ $\because a^0=1$]

and R.H.S. $(1000{)}^0=1$ [ $\because a^0=1$]

$\Rightarrow$ L.H.S. = R.H.S.

$\Rightarrow 3^0=(1000{)}^0$.

$\therefore$ It is true.
We should remember that any non-zero number raised to the power 0 is always equal to 1.