Find m 8 B 47° 8 O 8 O 47 O 90 O 180

P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7 What does n=

Juli2301 [7.4K]

Answer:

$n = 3$

Step-by-step explanation:

Given:

The equation given is:

$p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7$

We simplify the given equation using the following law of indices:

$a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}$

Therefore,

$p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5$

Since the base on both the sides is same, therefore, their exponents must also be same. This gives,

$n+2=5\\n=5-2\\n=3$

Therefore, the value of 'n' is 3.

5 0

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Answer:

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Step-by-step explanation:

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weeeeeb [17]

Answer:

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Explanation:

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$\sf ? = \left(\dfrac{15xy^3}{60x^2}\right)$

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Answer:

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Step-by-step explanation:

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Answer:

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