Question

Write $5^3\times 5^6$ as a single exponent.

Answer 1

We know that for any non-zero integer $a$ and natural numbers $m$ and $n$, we have , $a^m\times a^n=a^{m+n}$.

Also, in other words, powers will get added when base is same and powers are different.

In $5^3\times 5^6$, we have same base $5$ and different powers, so , we will add the powers.

Thus, $5^3\times 5^6$$=5^{3+6}=5^9$.

Hence, $5^3\times 5^6$ as a single exponent is $5^9$.