Answer:
D
Step-by-step explanation:
Using the law of radicals/ exponents
[tex]\sqrt{a^{3} }[/tex] ⇔ [tex]a^{\frac{3}{2} }[/tex]
Consider the right side
[tex]\sqrt{729}[/tex] = [tex]\sqrt{9^{3} }[/tex] = [tex]9^{\frac{3}{2} }[/tex]
Thus
[tex]9^{x}[/tex] = [tex]9^{\frac{3}{2} }[/tex]
Since the bases on both sides are equal, equate the exponents, so
x = [tex]\frac{3}{2}[/tex] → D
