Given:
Consider the given equation is:

To find:
The missing exponent.
Solution:
Let x be the missing exponent. Then the given equation can be written as

It can be rewritten as:

![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
On comparing the coefficient of m, we get



Therefore, the value of the missing exponent is 8. So, the complete equation is
.
Answer:
The number -100 is a rational number and an integer
276 is the answer because 460 times .6 = 276
Answer:
[6.5,-7.25]
Step-by-step explanation:
Given the partitioning ratio as 3:1
#Find the length of the x-coordinate and multiply by the ratio:
x length=9--1=10
=>
#We subtract 2.5 from the x-max to get the point=9-2.5=6.5
#Find the length of the y-coordinate and multiply by the ratio:
x length=-9--2=-7
=>
#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25
Hence, the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]