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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Answer:
wow i have the same qustion
Step-by-step explanation:
Answer:
b im positive it B but if im wrong message me
Answer:
12, 17, 24
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the rule, that is
T₁ = 1² + 2(1) + 9 = 1 + 2 + 9 = 12
T₂ = 2² + 2(2) + 9 = 4 + 4 + 9 = 17
T₃ = 3² + 2(3) + 9 = 9 + 6 + 9 = 24
The biggest possible volume of the cylinder will be 
.
<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>
- If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
- For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is
, the diameter and the height of the cylinder are also - If the side length of a cube is unit, then its diagonal will be
unit. - The formula for the volume of a cylinder is
, where 
is the radius and 
is the height of the cylinder. If 
is the diameter, then 
.
Now, given that the diagonal of the cube is 
cm. So, if the side length of the cube is cm, then we must have
Thus, the side length of the cube is 
cm.
So, the height of the cylinder with maximum volume will be 
cm and the diameter will be 
cm i.e. the radius will be 
cm.
So, using the above formula for the volume of a cylinder, we get
.
Therefore, the biggest possible volume of the cylinder will be .
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