Question

Solve for a,a. Express your answer in simplest radical form if necessary.
a, equals, cube root of, 177, point, 4, end cube root, dot, cube root of, 177, point, 4, end cube root, dot, cube root of, 177, point, 4, end cube root
a=
3

177.4
​
⋅
3

177.4
​
⋅
3

177.4
​

Answer 1

Let \( a = \sqrt[3]{177.4} \cdot \sqrt[3]{177.4} \cdot \sqrt[3]{177.4} \).

We can simplify this expression as follows:

First, using the property of cube roots, we can combine them:

\[
a = \sqrt[3]{177.4} \cdot \sqrt[3]{177.4} \cdot \sqrt[3]{177.4} = \sqrt[3]{(\sqrt[3]{177.4})^3} = \sqrt[3]{(177.4)^3}
\]

Therefore, we have:

\[
a = 177.4
\]

Thus, the value of \( a \) is:

\[
\boxed{177.4}
\]