Question

Simplify $\frac{(-4{)}^3}{(-4{)}^6}$

• A. $(-4{)}^3$
• B. $4^3$
• C. $\frac{1}{(-4{)}^3}$
• D. $\frac{1}{-4}$

Answer 1

The correct option is C $\frac{1}{(-4{)}^3}$

By the Laws of Exponents
$\frac{a^m}{a^n}=\frac{1}{a^{n-m}}$, if n>m
$\Rightarrow$$\frac{(-4{)}^3}{(-4{)}^6}=\frac{1}{(-4{)}^{6-3}}=\frac{1}{(-4{)}^3}$