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

Question

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:

$$\boxed{{\displaystyle -191.5}}.$$