Simplify the following:
((8 x^3 y^2 a^2 b^4)/4)^(-2)
8/4 = (4×2)/4 = 2:
(2 x^3 y^2 a^2 b^4)^(-2)
Multiply each exponent in 2 x^3 y^2 a^2 b^4 by -2:
(x^(-2×3) y^(-2×2) a^(-2×2) b^(-2×4))/(2^2)
-2×3 = -6:
(x^(-6) y^(-2×2) a^(-2×2) b^(-2×4))/2^2
-2×2 = -4:
(y^(-4) a^(-2×2) b^(-2×4))/(2^2 x^6)
-2×2 = -4:
(a^(-4) b^(-2×4))/(2^2 x^6 y^4)
-2×4 = -8:
b^(-8)/(2^2 x^6 y^4 a^4)
2^2 = 4:
Answer: 1/(4 x^6 y^4 a^4 b^8) thus the answer is A
Answer:
Find the slopes; 123 servings
Step-by-step explanation:
When you look at the graph and table, find out which ones have a slope of 1/2
To find slope you have to use this equation

So for each graph and table, calculate the slope using that formula :)
For the second question,
For every 10 students, the amount of juice dispensed was
7*4 + 3*8 = 52
So divide 52 by 10 to get 5.2
Then divide the total amount of juice (640) by 5.2 and that rounds to about 123 servings of juice
The different group of 2 players that the coach can pick is 45 groups.
<h3>Selection of groups</h3>
The selection of groups of 2 player can be done using the method of combination.
<h3>Different groups of 2 players</h3>
The different group of 2 players that the coach can pick from the 10 players is calculated as follows;
n = 10C2

Thus, the different group of 2 players that the coach can pick is 45 groups.
Learn more about combinations here: brainly.com/question/25821700
Answer:
Her weekly expenses is $234
Step-by-step explanation:
At $7.20 per kilogram
From selling 90 kg, she will have
$7.20 × 90
= $648
If her net profit is $414
To get her expenses, we subtract net profit from total income
$648 - $414
= $234
Answer:
Sienna has 5 3/4 pounds of grapes. She eats 1/8 pound and gives 2 1/2 pounds to her brother. How many pounds of grapes does Sienna have left?
Answer
5.0/5
2
The pounds of grapes left with seinna is 3.125 or pounds
Solution:
Given that Sienna has pounds of grapes
She eats pound and gives pounds to her brother
To find: pounds of grapes left with seinna
We can find the pounds of grapes left with seinna by subtracting the pounds of grapes she ate and pounds of grapes she gave to brother from the total pounds of grapes she had
Pounds of grapes left with seinna = total pounds of grapes - pounds of grapes she ate - pounds of grapes she gave to brother
Substituting the values we get,
Thus the pounds of grapes left with seinna is 3.125 or poundsStep-by-step explanation: