The expression (x^n) (x^5)^3 is equivalent to x^30. What is the value of n?

asked Aug 24, 2023 59.9k views

13 votes

by Reder

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5 votes

Answer:

n = 15

Explanation:

$(x^n) (x^5)^3 = x^(30) \\ \\ (x^n) x^(15 )= x^(30) \\ \\ {x}^(n + 15) = {x}^(30) \\ \\ n + 15 = 30 \\ \\ n = 30 - 15 \\ \\ n = 15$

Marcadian answered Aug 28, 2023

5.9k points

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