Question

which expression is equivalent to $\frac{12^{3}}{4^{3}}$? $3^{0}$ $3cdot3^{3}$ $3^{3}$ $3$

Explanation:

Step1: Apply quotient - of - powers rule

According to the rule $\frac{a^n}{b^n}=(\frac{a}{b})^n$, for $\frac{12^3}{4^3}$, we have $\frac{12^3}{4^3}=(\frac{12}{4})^3$.

Step2: Simplify the fraction inside the power

Since $\frac{12}{4} = 3$, then $(\frac{12}{4})^3=3^3$.

Answer:

$3^3$