Answer:
the volume is 64
Step-by-step explanation:
4*4*4
You already have the x
F(x)=4
(4,0)
Your question is not well presented. See complete question below
Which expression is equivalent to
?
A) –63
B) 36
C) ![\sqrt[3]{6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B6%7D)
D) ![(\frac{1}{6} )^3](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%20%29%5E3)
Answer:
The equivalent of
is ![(\frac{1}{6} )^3](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%20%29%5E3)
Step-by-step explanation:
Given
Expression: ![6^{-3}](https://tex.z-dn.net/?f=6%5E%7B-3%7D)
Required:
Find the Equivalent Expression
To find the equivalent of this expression, we make use of law of indices.
One of the laws of indices states that
![a^-b = \frac{1}{a^b}](https://tex.z-dn.net/?f=a%5E-b%20%3D%20%5Cfrac%7B1%7D%7Ba%5Eb%7D)
If we apply this law to the expression above (
)
By comparison a = 6 and b = 3.
So,
becomes
= ![\frac{1}{6^3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%5E3%7D)
Simplifying further;
= ![\frac{1}{6 * 6 * 6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%20%2A%206%20%2A%206%7D)
This can also be written as
= ![\frac{1*1*1}{6 * 6 * 6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2A1%2A1%7D%7B6%20%2A%206%20%2A%206%7D)
By splitting the above expression; we have that
= ![\frac{1}{6} * \frac{1}{6} * \frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%20%2A%20%5Cfrac%7B1%7D%7B6%7D%20%2A%20%5Cfrac%7B1%7D%7B6%7D)
Multiplication law of indices states that;
a * a * a = a³. (Because they have the same base of a)
So,
can then be written as ![(\frac{1}{6} )^3](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%20%29%5E3)
Hence,
= ![(\frac{1}{6} )^3](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%20%29%5E3)
So, the equivalent of
is ![(\frac{1}{6} )^3](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%20%29%5E3)
Answer:
28.
Step-by-step explanation:
A = bh = 8 · 3.5 = 28