Answer:
Step-by-step explanation:
Given:
The expression to simplify is given as:
In order to simplify this, we have to use the law of indices.
1. 
So, 
Substitute this value in the above expression. This gives,
Now, we use another law of indices.
2. 
So, 
Substitute these values in the above expression. This gives,
Finally, we further simplify it using the law 
So, 
Therefore, the given expression is simplified as:
36/20 or simplified and as a mixed number would be:
1 and16/20
Answer:
243 in²
Step-by-step explanation:
Step 1. Calculate the<em> base and height </em>of the rectangle
We have two conditions:
(1) 2b+ 2h = 72 in
(2) b = 3h Substitute in (1)
2(3h) + 2h = 72 Remove parentheses
6h + 2h = 72 Combine like terms
8h = 72 Divide by 6
h = 9 in Substitute in(2)
b = 3 × 9
b = 27 in
Step 2. Calculate the area of the rectangle
A = bh
A = 27 × 9
A = 243 in²
The area of the rectangle is 243 in².
Answer:
Each of the 5 children receive one fifteenth pie
Step-by-step explanation:
Given:
One third of a pie shared equally between 5 children.
To find:
Amount of the pie with each of the 5 children.
Solution:
Number of children = 5
Also, one third of a pie shared equally between 5 children.
So,
Amount of the pie with each of the 5 children 
Hence, each of the 5 children receive one fifteenth pie.
Answer:
It is about 537.2
Step-by-step explanation:
V= π · r^2 · h
V= π · 3^2 · 19
V≈ 537.2
