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
//Add the 2 distances you know
1/2 + 3/8 = total
4/8 + 3/8 = total
7/8 = total
//Although Timmy is now 7/8ths of a mile from his starting position so no idea if he walks back or not
Answer:x = 6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 4/3x from both sides.
Step 3: Subtract 9 from both sides.
Step 4: Divide both sides by -2.
The solution is (7/5, -22/5)
Hello!
We need to know that if two lines are parallel, then their slopes must be equivalent. This means that the new equation has a slope of -1.
Also, to find the equation that contains the point (3, -2), we need to substitute that ordered pair with the original slope into the equation to find the y-intercept.
As a reminder, slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.
-2 = -1(3) + b
-2 = -3 + b (add 3 to both sides)
1 = b
Therefore, the equation of the line is y = -x + 1.