Answer: q³⁰
Explanation:
First just solve the first part using the exponent rules
p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.
Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.
Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰
Answer:
the answer is 12
Step-by-step explanation:
Answer:
combination
Step-by-step explanation:
We have that permutations are groupings in which the order of the objects matters. Combinations are groupings where content matters but order does not.
In this case we have a list of ingredients for the pizza, therefore the order does not matter as long as the ingredients are indicated, which means that this is an example of a combination.
Answer:
and 
Step-by-step explanation:
the perimeter of a rectangle is given by the following equation:
if a rectangle has a perimeter of 76cm and its length is 5 plus the double of its width we can use a system of equations to find the length 
, and the width 
.
For the perimeter of the rectangle
where is its length, and is its width, 76 is the perimeter of the rectangle in cm.
We know that the lengh of the rectangle is 5 plus the double of its width, writing the equation:
Substituting the equation above in
We got that the rectangle width is w=11cm
Substituting w in the equation
We got that the rectangle length is l=27cm
Verifying the values obtained
with l=27 and w=11
Satisfying the equation
<span>P - 3 1/6 = -2 1/2
3 1/6- 21/2
p=2/3 </span>
