Given:

To find:
The value of given expression by using the Laws of Exponents.
Solution:
We have,

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

![[\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5En%3D%5Cdfrac%7Ba%5En%7D%7Bb%5En%7D%5D)


Therefore, the value of given expression is
.
All expressions whose sum represents the same vector as (r + s) + t. is Option b,c,e
<h3>What are the
expressions that equals (r + s) + t. ?</h3>
Where
r= (2,3)
s= (5,-3)
t= (-8,6)
Generally, the equation for statement is mathematically given as
(7,0)+(-8,6) ,(2,3)+(-3,3) and (-6,9)+(5,-3) are equal to (r+s)+t
Therefore
x=(2,3)+(5,-3)
x=(7,0)
Now we can calculate (r+s)+t as
(7,0)+(-8,6)
(7-8,0+6)
(-1,6)
For (b)
x=(7,0)+(-8,6)
x=(-1,6)
in this scenario x expressions is equal to (r+s)+t
For (c)
x=(2,3)+(-3,3,)
x=(-1,6)
in this scenario x expressions is equal to (r+s)+t
For (e)

x=(-1,6)
in this scenario x expressions is equal to (r+s)+t
In conclusion, all expressions whose sum represents the same vector as (r + s) + t. is b,c,e
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Answer:
you dint put up the pictures so not sure
Step-by-step explanation:
If there are 60 people waiting for a river raft ride. Each raft holds
15 people. how Silvia's work can be used to find the number
of rafts needed is: total number of people/Number of people holded by each raft.
<h3>
Number of rafts needed</h3>
Using this formula
There are 136 people waiting for a river raft ride each raft holds 8 people.
Number of rafts needed=Number of people/Capacity of raft
Where:
Number of people = 60
Capacity of raft = 15 people
Let plug in the formula
Number of rafts needed=60/15
Number of rafts needed=4 rafts needed
Therefore if raft holds 15 people. how Silvia's work can be used to find the number of rafts needed is: total number of people/<em>Number </em>of people holded by each raft.
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