To find the value equivalent to [tex]\( 24^{\frac{1}{3}} \)[/tex], you're looking for the cube root of 24. Let's break this process down step-by-step:
1. Understand the cube root: The cube root of a number [tex]\(a\)[/tex] is a number [tex]\(b\)[/tex] such that [tex]\(b^3\)[/tex] equals [tex]\(a\)[/tex]. Therefore, if we denote the cube root of 24 by [tex]\(x\)[/tex], this means [tex]\(x\)[/tex] satisfies [tex]\(x^3 = 24\)[/tex].
2. Set up the expression: In mathematical terms, finding the cube root of 24 means evaluating [tex]\(24^{\frac{1}{3}}\)[/tex].
3. Evaluate the expression: Calculating [tex]\(24^{\frac{1}{3}}\)[/tex], we get the result approximately equal to [tex]\(2.8844991406148166\)[/tex].
So, the value of [tex]\(24^{\frac{1}{3}}\)[/tex] is approximately [tex]\(2.8844991406148166\)[/tex].
