cfr8229 cfr8229

13-01-2021
Mathematics

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If (5n^5)^3÷(n^2)^7=875, then n is equal to ....

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kritika3375 kritika3375

13-01-2021

Step-by-step explanation:

[tex] \frac{(5 {n}^{5} ) ^{3} }{( {n}^{2} ) ^{7} } = 875[/tex]

[tex] \frac{5 {n}^{15} }{ {n}^{14} } = 875[/tex]

[tex]5 {n}^{15 - 14} = 875[/tex]

[tex]5n \: = 875[/tex]

[tex]n \: = \frac{875}{5} [/tex]

Therefore n = 175

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