What is the solution of the inequality p5

Question

≤ 8? Include the appropriate inequality symbol in your response.

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(1 point)

Answer 1

To solve the inequality \( p^5 \leq 8 \), we need to isolate \( p \).

1. Take the fifth root of both sides: \[ p \leq 8^{1/5} \]

2. Calculate \( 8^{1/5} \). Since \( 8 = 2^3 \), we have: \[ 8^{1/5} = (2^3)^{1/5} = 2^{3/5} \]

Thus, the solution to the inequality is: \[ p \leq 8^{1/5} \]

So the solution in terms of the inequality symbol is: \[ p \leq 2^{3/5} \]