Question

Question 80

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

The expression for $4^{-3}$ as a power with the base $2is{2}^6.$

Answer 1

False:

Using law of exponents,
$a^{-m}=\frac{1}{a^m}$

$\therefore 4^{-3}=\frac{1}{4^3}=\frac{1}{(2^2{)}^3}=\frac{1}{(2{)}^6}\left[\right(a^m{)}^n=a^{mn}]=(2{)}^{-6}$