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:
Length of arc is 2π
Step-by-step explanation:
Length of arc=¤/360 x 2πr
Where:
¤=angle
r=radius
length of arc=90/360 x 2xπx4
Length of arc=1/4 x 8π
Length of arc=8π ➗ 4
Length of arc=2π
The answer is b because no x-value can repeat.
7:5 = 21:15
explanation : to get 21, multiply 7 by 3. since 7 is multiplied by 3, then you multiply 5 by 3 too. and you get 15.
195 is the answer because you replace x with 10
Step-by-step explanation:
825-630=195
