Question

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

Answer 1

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

`2^{(4)/(3)}=\sqrt[3]{2^4}=\sqrt[3]{8}`

Then, the simplified expression is:

`\frac{\sqrt[3]{8}}{e}`

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

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