Question

which expression is equivalent to $\frac{12^{4}}{4^{4}}$? $\frac{1}{3^{4}}$ $3^{4}$ $3$ $3^{0}$

Explanation:

Step1: Apply quotient - of - powers rule

Since $\frac{a^n}{b^n}=(\frac{a}{b})^n$, for $\frac{12^4}{4^4}$, we have $(\frac{12}{4})^4$.

Step2: Simplify the fraction inside the power

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

Answer:

$3^4$