Question

Convert the equation you found, t = a3/2, into a form without any rational exponents.

Answer 1

Answer is c         it told me to explain but idk how to explain through computer but the answer is C

Answer 2

Answer: t = $a\sqrt{a}$.

Step-by-step explanation: Given equation  t = $a^{\frac{3}{2}}$.

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:

$x^{\frac{m}{n}} = \sqrt[n]{x^m}$.

Applying same rule in given equation, we get

$a^{\frac{3}{2}} =\sqrt[2]{a^3} \ or \ \sqrt{a^3}$

Therefore,

t = $a^{\frac{3}{2}}$ could be written as

t = $\sqrt{a^3}$.

We can simplify $\sqrt{a^3}$ to $a\sqrt{a}$.

Therefore,

t = $a\sqrt{a}$.