Question

Question 72

In the following question, state whether the given statements are true (T) or false (F).

$(-4{)}^{-4}\times (4{)}^{-1}=(4{)}^5$

Answer 1

False:

$LHS=(-4{)}^{-4}\times (4{)}^{-1}$

Using law of exponents,
$a^m\times a^n=(a{)}^{m+n}$

$\therefore (-4{)}^{-4}\times (4{)}^{-1}=(-1{)}^4(4{)}^{-4}\times (4{)}^{-1}=(1\left)\right(4{)}^{-4+(-1)}=(4{)}^{-5}$