Question

Solve for a,a. Express your answer in simplest radical form if necessary.

a = ^3V-191.5 times ^3V-191.5 times ^3V-191.5 times

Answer 1

To solve for \( a \) given the equation

\[
a = \sqrt[3]{-191.5} \cdot \sqrt[3]{-191.5} \cdot \sqrt[3]{-191.5},
\]

we can simplify the right-hand side.

First, recognize that \( \sqrt[3]{-191.5} \) is the cube root of \(-191.5\). We can denote \( x = \sqrt[3]{-191.5} \). Therefore, we can rewrite \( a \):

\[
a = x \cdot x \cdot x = x^3.
\]

Since \( x = \sqrt[3]{-191.5} \), then:

\[
x^3 = \left(\sqrt[3]{-191.5}\right)^3 = -191.5.
\]

Thus, we can conclude that:

\[
a = -191.5.
\]

So the final answer is:

\[
\boxed{-191.5}.
\]