Question

Write √2³ / 24 as an algebraic expression using a rational exponent.

A. 27/2
B. 27/3
C. 2
D. 212/2

Answer 1

To write the expression √2³ / 24 as an algebraic expression using a rational exponent, we can simplify the expression under the square root and rewrite it as (8)^(1/2) / 24.

Step-by-step explanation:

To write √2³ / 24 as an algebraic expression using a rational exponent, we can start by simplifying the expression under the square root. √2³ is equal to (2³)^(1/2) = 8^(1/2). Now, let's rewrite 8^(1/2) / 24 using a rational exponent.

8^(1/2) is the same as 8^(1/2*1) = (8^1)^(1/2) = (8)^(1/2).

So, the algebraic expression with a rational exponent is (8)^(1/2) / 24.