In some other universe, K. Pack believes he has discovered a relationship between a planet's distance D from it's sun and the time T it takes to orbit its sun. This formula is t=√4:(D^(9)), where t is in Earth years and D=1 corresponds to the distance between Earth and our sun, or 93,000,000 miles.
(A)Planet Eta is 26 times farther from it's sun than Earth is from our sun. Estimate the number of Earth years required for Eta to orbit its sun according to K. Pack's formula.
(b)Write this formula with rational exponents.

(a)Planet Eta takes _ Earth years to orbit it's sun.

Question

In some other universe, K. Pack believes he has discovered a relationship between a planet's distance D from it's sun and the time T it takes to orbit its sun. This formula is t=√4:(D^(9)), where t is in Earth years and D=1 corresponds to the distance between Earth and our sun, or 93,000,000 miles.
(A)Planet Eta is 26 times farther from it's sun than Earth is from our sun. Estimate the number of Earth years required for Eta to orbit its sun according to K. Pack's formula.
(b)Write this formula with rational exponents.

(a)Planet Eta takes _ Earth years to orbit it's sun.

anonymous · Answer

Can you retype the equation? Not sure what the colon after 4 means

anonymous · Answer

Sure.... this thing is a monster!

anonymous · Answer

The colon is incorrect.

anonymous · Answer

t=∜D^9