Answer:
The simplest form is 1/r^7 + 1/s^12
Step-by-step explanation:
The given expression is r^-7+s^-12.
Notice that the exponents of both the base are negative
So, we will apply the rule which is:
a^-b = 1/a^b
Which means that to change the exponent into positive we will write it as a fraction:
r^-7+s^-12.
= 1/r^7 + 1/s^12..
Therefore the simplest form is 1/r^7 + 1/s^12....
Answer:
7
Step-by-step explanation:
By Basic proportionality theorem:
![\frac{10}{8} = \frac{3x - 6}{12} \\ \\ \frac{10 \times 12}{8} = 3x - 6 \\ \\ \frac{120}{8} = 3x - 6 \\ \\ 15 = 3x - 6 \\ 15 + 6 = 3x \\ 21 = 3x \\ \frac{21}{3} = x \\ 7 = x \\ \\ \huge \red { \boxed{x = 7}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B8%7D%20%20%3D%20%20%5Cfrac%7B3x%20-%206%7D%7B12%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B10%20%5Ctimes%2012%7D%7B8%7D%20%20%3D%203x%20-%206%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B120%7D%7B8%7D%20%20%3D%203x%20-%206%20%5C%5C%20%20%5C%5C%2015%20%3D%203x%20-%206%20%5C%5C%2015%20%2B%206%20%3D%203x%20%5C%5C%2021%20%3D%203x%20%5C%5C%20%20%5Cfrac%7B21%7D%7B3%7D%20%20%3D%20x%20%5C%5C%207%20%3D%20x%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%20%7B%20%5Cboxed%7Bx%20%3D%207%7D%7D)
Whats the given measurements
1.Simplified each one
2/5 (both divided by 7) , 1/2 (divided by 21)
2.Make them into integer
(2/5 )*(2/2)=4/10 , (1/2)*(5/5)=5/10
Now the dominators are the same ,you can just compare the numerators. It is 4:5
1) 84 hours
2) 2.4 meters
3) 4800 seconds
4) 100000grams
5)219.2 Fahrenheit degrees