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

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

asked
User Reder
by
8.3k points

1 Answer

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

answered
User Marcadian
by
8.4k points
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