The simplification of 25p^6q^9 / 45p^8q^4 using a positive exponent;
- Division is 5p^6 q^9 / 9p^8 q^4
- Elevated form is 5/9 p^-2 q^5
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions made up of factors, variables, terms, coefficients and constants.
They are also comprised of arithmetic operations such as addition, subtraction, multiplication, division, etc
We also know that index forms are also know as standard forms.
They are mathematical expressions showing the power of exponent of a variable in terms of another variable.
Given the index algebraic forms;
25p^6q^9 / 45p^8q^4
Using the rule of indices, we take the negative exponent of the divisor and multiply through.
We have;
5p^6 q^9 × 9p^-8 q^-4
Add exponential values
5/9 p^6-8 q^9 -4
5/9 p^-2 q^5
Thus, the expression is simplified to 5/9 p^-2 q^5
Learn more about index forms here:
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a=4 , b=3 These values make the equation true .
<u>Step-by-step explanation:</u>
Here we have , If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. We need to find if those values make the equation true . Let's find out:
We have the following equation:
-(a/b) = (-a)/b = a/(-b) , Let a=4 , b=3 , So
⇒ 
⇒ 
⇒ 
⇒
{ Multiplying by -1 }
⇒ 
Therefore , These values make the equation true .
I did out all my work but it got deleted. Hope you don't mind just answers.
5) 10
6) 32
7) 64 pi
8) A=64 pi C=16 pi
9) A=110.25 pi C=21 pi
10) A=1024/pi C=64
11) L=4sqrt(5) or about 9 midpoint is (1,4)
12) L=sqrt(37) or about 6 midpoint is (-1,-3.5)
Sorry I couldn't show work, hope this helps :)
Please graph the triangle using the info in the description provided. The answer to this question will likely become self-evident if your drawing is correct. Remember, the sum of the 3 interior angles of any triangle is always 180 degrees.
92% is the amount that are perfect