The expression is [tex]\displaystyle { (\displaystyle{x} ^{\displaystyle{ 16})^{\displaystyle{ \frac{3}{4}}[/tex].
By exponents laws, we have [tex]\displaystyle { (a^b)^c=a^{b\cdot c}[/tex]. Applying this rule, we have:
[tex]\displaystyle{ (x^{\displaystyle16})^\displaystyle \frac{3}{4} [/tex][tex]=\displaystyle x^{\displaystyle16\cdot \displaystyle\frac{3}{4} }=x^{\displaystyle4\cdot3}=x^{12}[/tex]
Answer: 12
