Is the 4th root of $3^3$ $3^3/4$ or $2.2795$?

Question

I'm working through a textbook and one question is:

Use a calculator to find the value of the following expression: $$\sqrt[\large4]{3^3}$$

The textbook answer is given as $2.2795$; however, using https://live.sympy.org/, if I enter root(3**3, 4), I get back 3^3/4.

How do I arrive at $2.2795$?

Here's the original question and the given solution:

When I put it into simpy it is clearly $3^{(\frac 34)}$ as it should be. — Ross Millikan, Nov 15 '18 at 16:48

score 3 · Accepted Answer · answered Nov 15 '18 at 16:43

3

$3^{\frac{3}{4}}$ is what you get out. Not $\frac{3^3}{4}$. As it happens, $3^\frac{3}{4}$ is approximately 2.2795.

answered Nov 15 '18 at 16:43

user3482749

Ah so it's the same. Thanks, accepting when the limit comes off. – Doug Fir Nov 15 '18 at 16:44

1 Answers1