Answer:
![5 ^{2} \times 2^{4}](https://tex.z-dn.net/?f=5%20%5E%7B2%7D%20%20%5Ctimes%202%5E%7B4%7D%20)
Step-by-step explanation:
Multiplying 5 by itself is the same thing as raising it to the second power:
![5 \times 5 = {5}^{2} = 25](https://tex.z-dn.net/?f=5%20%5Ctimes%205%20%3D%20%7B5%7D%5E%7B2%7D%20%20%3D%2025)
We multiply 2 by itself two seperate times. That's the same thing as raising 2 to the second power to the second power or in simpler terms raising two to the fourth power:
![2 \times 2 \times 2 \times 2 = {({2}^{2})}^{2} = {2}^{4} = 16](https://tex.z-dn.net/?f=2%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%3D%20%7B%28%7B2%7D%5E%7B2%7D%29%7D%5E%7B2%7D%20%20%3D%20%20%7B2%7D%5E%7B4%7D%20%20%3D%2016)
Since only multiplication is present, we can combine the two terms to get:
![5^{2} \times {2}^{4}](https://tex.z-dn.net/?f=5%5E%7B2%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B4%7D%20)
Answer:
if you can use the app photomath or m.a.t.h. w.a.y
Step-by-step explanation:
12a)
5x + 45 + 3x - 25 = 180
8x + 20 = 180
8x = 160
x = 20
12b)
2x - 5 = 2(20) - 5 = 40 - 5 = 35
3x - 25 = 3(20) - 25 = 60 - 25 = 35
y = 180 - (35+35)
y = 180 - 70
y = 110
Answer:
-48/15, simplified to -16/5
Step-by-step explanation:
The reciprocal of -3/8 is -8/3. So the equation will be 6/5 x -8/3. Multiply numerators then multiply denominators to get -48/15. This can simplify to -16/5 by dividing both by 3.
Answer:
![\displaystyle m=\frac{-2}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-2%7D%7B3%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Reading a Cartesian plane
- Coordinates (x, y)
- Slope Formula:
![\displaystyle m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (3, 1)
Point (0, 3)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
![\displaystyle m=\frac{3-1}{0-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B3-1%7D%7B0-3%7D)
- [Fraction] Subtract:
![\displaystyle m=\frac{2}{-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B2%7D%7B-3%7D)
- [Fraction] Rewrite:
![\displaystyle m=\frac{-2}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-2%7D%7B3%7D)