Answer:
The expression that equivalent to
is 3
⇒ C
Step-by-step explanation:
Let us revise some rule of exponents
= ![a^{m-n}](https://tex.z-dn.net/?f=a%5E%7Bm-n%7D)
= ![a^{mn}](https://tex.z-dn.net/?f=a%5E%7Bmn%7D)
Let us solve the question
∵ The expression is ![\frac{12x^{4}}{4x^{16}}](https://tex.z-dn.net/?f=%5Cfrac%7B12x%5E%7B4%7D%7D%7B4x%5E%7B16%7D%7D)
→ Simplify the fraction 12/4 first
∵ 12/4 = 3
∴
= 3 (
)
→ By using the second rule above to simplify the variable
∵
= ![x^{4-16}](https://tex.z-dn.net/?f=x%5E%7B4-16%7D)
∴
= 3![x^{4-16}](https://tex.z-dn.net/?f=x%5E%7B4-16%7D)
∴ The expression that equivalent to
is 3![x^{4-16}](https://tex.z-dn.net/?f=x%5E%7B4-16%7D)