Respuesta :
answer is c it told me to explain but idk how to explain through computer but the answer is C
Answer: t = [tex]a\sqrt{a}[/tex].
Step-by-step explanation: Given equation t = [tex]a^{\frac{3}{2}}[/tex].
We need to convert equation in the from without any rational exponents.
Note: A rational exponent could be convert into a radical form that would remove the rational exponent.
According to rational exponent and radical rule:
[tex]x^{\frac{m}{n}} = \sqrt[n]{x^m}[/tex].
Applying same rule in given equation, we get
[tex]a^{\frac{3}{2}} =\sqrt[2]{a^3} \ or \ \sqrt{a^3}[/tex]
Therefore,
t = [tex]a^{\frac{3}{2}}[/tex] could be written as
t = [tex]\sqrt{a^3}[/tex].
We can simplify [tex]\sqrt{a^3}[/tex] to [tex]a\sqrt{a}[/tex].
Therefore,
t = [tex]a\sqrt{a}[/tex].
