I have an ACT practice problem (subject of calculus) that I need help on. *It asks to identify the errors that each person made, and explain in words what he or she did wrong. Then correctly simplify the expressions.*See

I have an ACT practice problem (subject of calculus) that I need help on. *It asks to identify the errors that each person made, and explain in words what he or class=

Answer :

Helen made an error whe she expressed the factor 2^4/3 in radical form. The correct expression is:

[tex]2^{\frac{4}{3}}=\sqrt[3]{2^4}=\sqrt[3]{8}[/tex]

Then, the simplified expression is:

[tex]\frac{\sqrt[3]{8}}{e}[/tex]

Stephen made an error when he write ln2 as simply 2, in the second step. The correct procedure is:

[tex]e^{\frac{4}{3}ln2-1}=e^{\frac{4}{3}\ln 2}\cdot e^{-1}=^{}2^{\frac{4}{3}}\cdot e^{-1}=\frac{\sqrt[3]{8}}{e}[/tex]

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