Question

I need help on this ACT practice problem Below, answer these as well (they are included)Identify where each person made their error and explain in words what he or she did wrong. Then correctly simplify the expression/s

Answer 1

First, let's simplify the expression to see the correct result:

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

Looking at Helen's calculations, she did a mistake in the last step, where the numerator 4 went to the radical and denominator 3 went to the exponent of number 2, and it should be the inverse.

Looking at Stephen's calculations, he did a mistake in the first step, where he switched ln2 by 2, and that's not correct.