my teacher demonstrated a problem stating 400e^.5 = 400e^(.5X10) with an answer 659.5 but i have tried and tried and i do not get that answe

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my teacher demonstrated a problem stating 400e^.5 = 400e^(.5X10) with an answer 659.5 but i have tried and tried and i do not get that answer. help?

Guest Oct 7, 2014

+130511

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Best Answer

One problem here is that the exponent on the left side (.5) doesn't equal the exponent on the right side (.5 x10) = 5

As Alan has said, the first thing gives you ≈ 659.5

But, 400e⁵ ≈ 59365.26 !!!

CPhill Oct 7, 2014

CPhill · Answer 1 · 2014-10-07T01:44:34

One problem here is that the exponent on the left side (.5) doesn't equal the exponent on the right side (.5 x10) = 5

As Alan has said, the first thing gives you ≈ 659.5

But, 400e⁵ ≈ 59365.26 !!!

Alan · Answer 2 · 2014-10-07T01:37:05

According to the calculator here:

$${\mathtt{400}}{\mathtt{\,\times\,}}{{\mathtt{e}}}^{{\mathtt{0.5}}} = {\mathtt{659.488\: \!508\: \!280\: \!051\: \!28}}$$

or approximately 659.5