Answer:
6
Step-by-step explanation:
Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728
Answer:
<h2>12</h2>
Step-by-step explanation:
If the Quadrilateral A has side lengths 6, 9, 9, and 12 respectively and Quadrilateral B is a scaled copy of A with its shortest side of length 2, then to determine the scale used, we will find the ratio of the shortest side of quadrilateral A to that of quadrilateral B as shown;
ratio of shortest side
B:A = 2:6 = 1:3
This means that the quadrilateral B is 3 times smaller than A.
To find the perimeter of quadrilateral B, we will add all the side length of A and divide by 3 to get the perimeter of quadrilateral A by 3 as shown;
Perimeter of quadrilateral B = (Perimeter of quadrilateral A)/3
Perimeter of quadrilateral A = 6+9+9+12
Perimeter of quadrilateral A = 36
Perimeter of quadrilateral B = 36/3
Perimeter of quadrilateral B = 12
<em>Hence the perimeter of quadrilateral B is 12</em>
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Answer:
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