Answer:
Step-by-step explanation:
You need to subtract
$25.00
-
$9.50
___________
Then, divide your answer by $3.75, if it is a decimal, then round down.
Answer:
![x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%2Fx%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E2%7D)
Step-by-step explanation:
Given
Required
Rewrite in simplest radical form
Using laws of indices:
This implies that
Solve Exponents
Simplify exponent to lowest fraction
Using laws of indices:
![a^{\frac{m}{n}} = \sqrt[n]{a^m}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5Em%7D)
This implies that
This is as far as the expression can be simplified
Answer:
The absolute brightness of the Cepheid star after a period of 45 days is -5.95
Step-by-step explanation:
Since the absolute magnitude or brightness of a Cepheid star is related to its period or length of its pulse by
M = –2.78(log P) – 1.35 where M = absolute magnitude and P = period or length of pulse.
From our question, it is given that P = 45 days.
So, M = –2.78(log P) – 1.35
M = –2.78(log 45) – 1.35
M = –2.78(1.6532) – 1.35
M = -4.60 - 1.35
M = -5.95
So, the absolute magnitude or brightness M of a Cepheid star after a period P of 45 days is -5.95
