The expression is :
[tex]\frac{7}{3}p^{15}q^{-12}[/tex]
Further explanation
In general, we are dealing with numbers that can have large or small numbers
This rank number was originally used as a multiple product
Rank numbers are usually used in scientific notation. Scientific notation is used to express very large/small numbers
Rank notation is used to write the product of repeated numbers in simple form.
Rank form functions to simplify writing and mention of a number that has the same multiplication factors
Traits of Rank Number Operations
1. Multiplication
2. division
3. rank of rank
4. addition
5. reduction
Rank numbers can be
• 1. positive integers
• 2. zero integers
• 3. negative integers
General properties of numbers:
• 1. aᵇ x aⁿ = aᵇ⁺ⁿ
• 2. aᵇ: aⁿ = aᵇ⁻ⁿ, a≠0
• 3. a⁻ᵇ = 1/aᵇ, a≠0
• 4. (aᵇ)ⁿ= aᵇⁿ
• 5. [tex](\frac{a}{b})^n~=~(\frac{a^n}{b^n})[/tex], b≠0
• and :
aⁿ : rank number
If we look the task :
[tex]\frac{28p^9q^{-5}}{12p^{-6}q^7}[/tex],
p ≠0,q≠0
The solution :
[tex]\frac{28}{12}\times~ \frac{p^9}{p^{-6}}\times~\frac{q^{-5}}{q^7}[/tex]
[tex]\frac{7}{3}p^{15}q^{-12}[/tex]
Learn more
the number in scientific notation
https://brainly.com/question/1697231
https://brainly.com/question/3652014
https://brainly.com/question/648865
Keywords : scientific notation, integer, rank number, integer
