(-3)^2 = 9
-3^2 = -9
Hope this helps!
For this case we must simplify the following expression:
![\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B64%20%2A%20a%20%5E%206%20%2A%20b%20%5E%207%20%2A%20c%20%5E%209%7D)
We rewrite:
So:
![\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B4%20%5E%203%20%2A%20%28a%20%5E%202%29%20%5E%203%20%2A%20%28b%20%5E%202%29%20%5E%203%20%2A%20b%20%2A%20%28c%20%5E%203%29%20%5E%203%7D%20%3D%5C%5C%5Csqrt%20%5B3%5D%20%7B4%20%2A%20a%20%5E%202%20%2A%20b%20%5E%202%20%2A%20c%20%5E%203%29%20%5E%203%20%2A%20b%7D%20%3D)
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:
![4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}](https://tex.z-dn.net/?f=4a%20%5E%202b%20%5E%202%20c%20%5E%203%20%5Csqrt%20%5B3%5D%20%7Bb%7D)
Answer:
Option B
Y-intercept: 0
Slope: 4
Explanation
Y-intercept is the number without the x which in this case is no number so it’s 0 so that’s where the point in the y axis goes
Slope is rise over run so if the equation is 2y = 8x then we can simplify this by dividing both sides by 2 which would be y = 4x so slope is 4/x. Which is basically 4/1 because the x means over one so up 4 units and to the right once
Hope this helps
Answer:
$1,008 weekly, $52,416 annually
Step-by-step explanation:
14% of $7200 is 7200 multiplied by .14 (% is decimal multiplied by 100)
.14 of 7200 = 1008
Since you specified the year, I'm going to assume that you need the annual salary based on the weekly salary that she gets from commissions.
$1008 per week, 52 weeks in a year
52 * 1008 = $52416, her commission in 2011
You would get $15 in total because 5x3=15.
