The value of a will be equal to
for the given expression.
<h3>What is simplification?</h3>
The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.
here we have two expressions.

We can write the expression as:

Hence the value of a will be equal to
for the given expression.
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Answer:

Step-by-step explanation:
Given the following question:

In order to simplify fractions with exponents we simply subtract the exponents.



Hope this helps.
Answer:
$276
Step-by-step explanation:
Create a proportion where x is the cost to refinish the larger wood floor:
= 
Cross multiply and solve for x:
3x = 828
x = 276
So, to refinish the larger wood floor, it would cost $276
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
To solve this you want to plug in your x's and y's to see if they match.
A. 3(11)-4=33-4=29 and 29 is not equal to 5 so A is not a solution
B.3(5)-4=15-4=11=11 3(3)-4=9-4=5 and 5 is not equal to 2 so B is not a solution
C. 3(2)-4= 6-4=2 2 is not equal to 3 so C is not a solution
D is the answer. 3(5)-4=11 and 3(2)-4= 2