Answer:
![(2x^3)^3=8\cdot x^{9}](https://tex.z-dn.net/?f=%282x%5E3%29%5E3%3D8%5Ccdot%20x%5E%7B9%7D)
Step-by-step explanation:
<u>Properties of Exponents</u>
The property called Power to a Power shows us how to simplify expressions of the type:
![(x^n)^m=x^{n*m}](https://tex.z-dn.net/?f=%28x%5En%29%5Em%3Dx%5E%7Bn%2Am%7D)
Similarily the property called Power of a product simplifies expressions like:
![(x.y)^n=x^n.y^n](https://tex.z-dn.net/?f=%28x.y%29%5En%3Dx%5En.y%5En)
The company mentioned in the question uses the expression
![(2x^3)^3](https://tex.z-dn.net/?f=%282x%5E3%29%5E3)
millimeters per second to calculate the maximum capacity of a photocell with an area of x^3 square millimeters.
First, use the power of a product property:
![(2x^3)^3=2^3\cdot (x^3)^3](https://tex.z-dn.net/?f=%282x%5E3%29%5E3%3D2%5E3%5Ccdot%20%28x%5E3%29%5E3)
Now use the power to a power property:
![(2x^3)^3=2^3\cdot x^{3*3}](https://tex.z-dn.net/?f=%282x%5E3%29%5E3%3D2%5E3%5Ccdot%20x%5E%7B3%2A3%7D)
Operate:
![\mathbf{(2x^3)^3=8\cdot x^{9}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%282x%5E3%29%5E3%3D8%5Ccdot%20x%5E%7B9%7D%7D)
Answer:
A measures 72 and B measures 108
Step-by-step explanation:
If the angles are supplementary, that means that they add up to equal 180. 3x + 12 + 4x + 28 = 180. Doing some algebra there gives you that 7x = 140 and x = 20. Sub in 20 to angle A to get 3(20) + 12 = 72, and sub in 20 to angle B to get 4(20) + 28 = 108. And of course, 108 + 72 = 180.
Answer:
y= -2x+2.
Step-by-step explanation:
1) according to the condition interception is '2' (point (0;2));
2) slope is: (2+4)/(0-3)= -2;
3) finally the required equation is: y=-2x+2.
P.S. the suggested option is not the only one.
Answer:
No
Step-by-step explanation:
Summer starts in June and ends in August, so this is not valid.
Bam
Let the number be x.
-(3/4)*x = -(7/8)
x = -(7/8)/-(3/4)
x = 7/8 * 4/3
x = 7/6
The number = 7/6