Question

Question 81 (d)

Express each of the following in single exponential form.
$(-5{)}^5\times (-5)$

Answer 1

We have, $(-5{)}^5\times (-5)=(-5{)}^{5+1}=(-5{)}^6[\because a^m\times a^n=a^{m+n}]$
$=(-1\times 5{)}^6=(-1{)}^6\times \left(5{)}^6\right[\because (a\times b{)}^m=a^m\times b^m]=1\times 5^6[\because (-1{)}^n=1,ifniseven]=5^6$