Answer:
a) 8²
b) 2⁴ and 5⁴
Step-by-step explanation:
The power of a number is the base together with the exponent of the number.
The given expresion is
![( {8}^{2} )^{3}](https://tex.z-dn.net/?f=%28%20%7B8%7D%5E%7B2%7D%20%29%5E%7B3%7D%20)
We can rewrite this as:
![{8}^{2} \times {8}^{2} \times {8}^{2}](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7B8%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7B8%7D%5E%7B2%7D%20)
Over here the power being multiplied is
![{8}^{2}](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B2%7D%20)
Also, the powers being multiplied in
![( {2}^{4} )( {5}^{4} )](https://tex.z-dn.net/?f=%28%20%7B2%7D%5E%7B4%7D%20%29%28%20%7B5%7D%5E%7B4%7D%20%29)
are 2⁴ and 5⁴
Answer:
D. x=10, y=12
Step-by-step explanation:
Answer:
Denominator
x = 12
Step-by-step explanation:
Let x be the denominator of the fraction at point y.
Given:
Point X is at 2/3 on a number line from 0.
On the same line, point y is the same point from 0.
Numerator of the fraction at point y is 8.
We need to find the denominator of the fraction at point y.
Solution:
From the above statement the distance from 0 to point X and 0 to point Y is same, so point X is equal to Y.
![\frac{2}{3} =\frac{8}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%3D%5Cfrac%7B8%7D%7Bx%7D)
By cross multiplication.
![x=\frac{8\times 3}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%5Ctimes%203%7D%7B2%7D)
![x= \frac{24}{2}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B24%7D%7B2%7D)
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
Therefore, the denominator of the fraction at point y is 12.
Answer:
15
Step-by-step explanation:
16^2-1^2=15