Answer:
Ooooooooooooooooooooooooooooooofffffffffff
The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)
<h3>
What is simplification?</h3>
The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.
Now we have the original expression as;
(xy^2/x^-3y^3)
The only possible step in the expansion is to open up the bracket by the laws of indices and we get;
x^-4y^-8/x^12y^-12 (Option B)
Learn more about algebraic expression:brainly.com/question/953809
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Answer:
T-shirts and 
Baseball Caps
Step-by-step explanation:
GIVEN: The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. The profit they received for each T-shirt sold was 
, and the profit on each cap was 
.
TO FIND: If the students made a total profit of 
, how many T-shirts and how many caps were sold.
SOLUTION:
Let the total number of T-shirts sold are 
Let the total number of Baseball Caps sold are 
Profit received on each T-shirt 
Profit received on each Baseball Caps 
Total profit received on T-shirts 
Total profit received on Baseball Caps 
Also,
The number of T-shirts sold was three times the number of caps.
putting in equation,
Hence total t-shirts and baseball Caps were sold.
Step-by-step explanation:
3^-n=0.2
1/3^n=0.2
1=0.2(3^n)
3^n=1/0.2
3^n=5
(3^n)²=5²
(3^n)²=25
Answer:
4th term = 28
5th term = 37
6th term = 45
Step-by-step explanation:
f(n + 1) = f(n) + 8
f(1) = 5
f(1 + 1) = f(1) + 8 = 5+8 = 13
f(2) = 13
f(2 + 1) = f(2) + 8 = 13+8 = 21
Thus, series is 5, 13, 21......
In arithmetic series
Nth term is given by
n th term = a + (n-1)d
where a is the first term
and d is the common difference.
common difference d = nth term - (n-1)th term
For this series
a = 5
lets take nth term as 2nd term and 1st term as (n-1)th term
d = 13-5 = 8
n th term = a + (n-1)d
using the formula for nth term
4th term = 5 + (4-1)8 = 29
5th term = 5 + (5-1) 8= 37
6th term = 5+ (6-1)8 = 45
Thus, 4th term = 28
5th term = 37
6th term = 45
Note this, problem can be solved using f(n + 1) = f(n) + 8 by putting n = 3,4,5 as well but for learning concept of arithmetic series, i have used above process. Hope it helps.
