Respuesta :

Aishani
5p^2 / 5p^3 = p^2 / p^3
(the 5 gets cancelled as it is common)
p^2 / p^3 = 1 / p
as p^2 / p^3 is same as p*p / p*p*p
(2 p's are common in the denominator and the numerator, so it is cancelled out)
We are then left with 1 / p

Hope it helped!

Answer:

The simplified form of the given expression is,

[tex]\frac{1}{p}[/tex]

Step-by-step explanation:

Given expression,

5p² over 5p³

[tex]\implies \frac{5p^2}{5p^3}[/tex]

[tex]=\frac{p^2}{p^3}[/tex]

[tex]=p^2\times p^{-3}[/tex]       ( [tex]a^n=\frac{1}{a^{-n}}[/tex] )

[tex]=p^{2-3}[/tex]                      ( [tex]a^m.a^n=a^{m+n}[/tex] )

[tex]=p^{-1}[/tex]

[tex]=\frac{1}{p}[/tex]    

Since, further simplification is not possible,

Hence, the simplified form of the given expression is,

[tex]\frac{1}{p}[/tex]      

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