Answer: [tex]-6ap^3[/tex]
Step-by-step explanation:
Here the given expression is,
[tex]\frac{12a^3p^4}{-2a^2p}[/tex]
= [tex]\frac{-12\times a^3\times a^{-2}\times p^4\times p^{-1}}{2}[/tex] [tex]( \frac{1}{a^x} = a^{-x} )[/tex]
= [tex]-6\times a^{3-2}\times p^{4-1}[/tex] [tex]( a^m\times a^n = a^{m+n} )[/tex]
= [tex]-6 \times a^1\times p^3[/tex]
= [tex]-6ap^3[/tex]
Answer:
-6a / p³
Step-by-step explanation:
Given expression is
[tex]12a^{3} p^{4} /(-2a^{2}p)[/tex]
We have to simplify above expression.
We use two formulas in this expression.
xⁿ = 1/x⁻ⁿ (formula 1)
[tex]x^{m}[/tex]×[tex]x^{n}[/tex] = [tex]x^{m+n}[/tex] ( formula 2)
using (formula 1) in given expression,we get
[tex]12 a^{3} p^{4} a^{-2} p^{-1} /-2[/tex]
using (formula 2 ) in above expression ,we get
[tex]12a^{3-2} p^{4-1} /-2[/tex]
12a¹p⁻³ / -2
2×6ap⁻³ / -2
-6a / p³ which is the answer.
