Question

I need this practice problem answered. I’m having trouble on it, make sure to read the questions it asks in the bottom of the picture it asks to correctly simplify both expressions also

Answer 1

∛(16)/e

Step-by-step explanation:

The mistake made by Helen was in the last step. 2 to the power of 4/3 is equivalent to the cubic root of 2^4 instead of the fourth root of 2^3.

On the other hand, Stephen made a mistake in the first step. He replaces ln2 by 2 on the power of e and that is not equivalent.

Now, we can simplify the expression as:

`e^{(4)/(3)\ln 2-1}=\frac{e^{(4)/(3)\ln2}}{e}=\frac{e^{\ln 2\text{ \textasciicircum(4/3)}}}{e}=\frac{2^{(4)/(3)}^{}}{e}=\frac{\sqrt[3]{2^4}}{e}=\frac{\sqrt[3]{16}}{e}`

So, the equivalent expression is:

∛(16)/e