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

P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7 what does - id324347574005493, Smartpotato9555

Ответ:

muravyevaarina

11.01.2022

Mathematics

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.

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Ответ:

toluwaez

03.05.2021

Mathematics

$47.66

Step-by-step explanation:

The cost of the sweater is calculated by multiplying .7 x $35. (70% represents the cost of the sweater since there is a 30% discount.). The sweater cost $24.50.

The cost of the jeans is .85 x $28 = $23.80.

The total cost is $24.50 + $23.80 = $43.80.

The tax rate is 8%, which is calculated by multiplying .08 x $43.80 = $3.86 in sales tax.

Including the sales tax, the total cost is $43.80 + 3.86 = $47.66

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P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7

what does n=

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