Equation with Rational Exponents

[tex]\[ T = A^{3/2} \][/tex]

Translate the answer, [tex]\[ T^2 = A^3 \][/tex], into words:

The [tex]\(\square\)[/tex] of the orbital period, [tex]\(T\)[/tex], of a planet is equal to the [tex]\(\square\)[/tex] of the average distance, [tex]\(A\)[/tex], of the planet from the Sun.



Answer :

Certainly! Let's translate the given equation [tex]\( T^2 = A^3 \)[/tex] into words.

The equation [tex]\( T^2 = A^3 \)[/tex] relates two quantities: [tex]\(T\)[/tex] and [tex]\(A\)[/tex].

In this context:
- [tex]\( T \)[/tex] represents the orbital period of a planet, that is, the time it takes for the planet to complete one full orbit around the Sun.
- [tex]\( A \)[/tex] represents the average distance of the planet from the Sun.

The equation [tex]\( T^2 = A^3 \)[/tex] can be read as:

"The square of the orbital period, [tex]\( T \)[/tex], of a planet is equal to the cube of the average distance, [tex]\( A \)[/tex], of the planet from the Sun."