Is the 4th root of $3^3$ $3^3/4$ or $2.2795$?
up vote
1
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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:
exponentiation
edited 2 days ago
Robert Howard
1,677622
asked Nov 15 at 16:40
Doug Fir
1696
add a comment |
up vote
1
down vote
favorite
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:
exponentiation
edited 2 days ago
Robert Howard
1,677622
asked Nov 15 at 16:40
Doug Fir
1696
When I put it into simpy it is clearly $3^{(frac 34)}$ as it should be.
– Ross Millikan
Nov 15 at 16:48
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
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:
exponentiation
edited 2 days ago
Robert Howard
1,677622
asked Nov 15 at 16:40
Doug Fir
1696
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:
exponentiation
exponentiation
edited 2 days ago
Robert Howard
1,677622
asked Nov 15 at 16:40
Doug Fir
1696
edited 2 days ago
Robert Howard
1,677622
asked Nov 15 at 16:40
Doug Fir
1696
edited 2 days ago
Robert Howard
1,677622
edited 2 days ago
Robert Howard
1,677622
edited 2 days ago
Robert Howard
1,677622
1,677622
asked Nov 15 at 16:40
Doug Fir
1696
asked Nov 15 at 16:40
Doug Fir
1696
asked Nov 15 at 16:40
Doug Fir
1696
1696
When I put it into simpy it is clearly $3^{(frac 34)}$ as it should be.
– Ross Millikan
Nov 15 at 16:48
add a comment |
When I put it into simpy it is clearly $3^{(frac 34)}$ as it should be.
– Ross Millikan
Nov 15 at 16:48
When I put it into simpy it is clearly $3^{(frac 34)}$ as it should be.
– Ross Millikan
Nov 15 at 16:48
When I put it into simpy it is clearly $3^{(frac 34)}$ as it should be.
– Ross Millikan
Nov 15 at 16:48
add a comment |
1 Answer
1
active
oldest
votes
up vote
3
down vote
accepted
$3^{frac{3}{4}}$ is what you get out. Not $frac{3^3}{4}$. As it happens, $3^frac{3}{4}$ is approximately 2.2795.
answered Nov 15 at 16:43
user3482749
1,088411
Ah so it's the same. Thanks, accepting when the limit comes off.
– Doug Fir
Nov 15 at 16:44
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
accepted
$3^{frac{3}{4}}$ is what you get out. Not $frac{3^3}{4}$. As it happens, $3^frac{3}{4}$ is approximately 2.2795.
answered Nov 15 at 16:43
user3482749
1,088411
Ah so it's the same. Thanks, accepting when the limit comes off.
– Doug Fir
Nov 15 at 16:44
add a comment |
up vote
3
down vote
accepted
$3^{frac{3}{4}}$ is what you get out. Not $frac{3^3}{4}$. As it happens, $3^frac{3}{4}$ is approximately 2.2795.
answered Nov 15 at 16:43
user3482749
1,088411
Ah so it's the same. Thanks, accepting when the limit comes off.
– Doug Fir
Nov 15 at 16:44
add a comment |
up vote
3
down vote
accepted
up vote
3
down vote
accepted
$3^{frac{3}{4}}$ is what you get out. Not $frac{3^3}{4}$. As it happens, $3^frac{3}{4}$ is approximately 2.2795.
answered Nov 15 at 16:43
user3482749
1,088411
$3^{frac{3}{4}}$ is what you get out. Not $frac{3^3}{4}$. As it happens, $3^frac{3}{4}$ is approximately 2.2795.
answered Nov 15 at 16:43
user3482749
1,088411
answered Nov 15 at 16:43
user3482749
1,088411
answered Nov 15 at 16:43
user3482749
1,088411
answered Nov 15 at 16:43
user3482749
1,088411
1,088411
Ah so it's the same. Thanks, accepting when the limit comes off.
– Doug Fir
Nov 15 at 16:44
add a comment |
Ah so it's the same. Thanks, accepting when the limit comes off.
– Doug Fir
Nov 15 at 16:44
Ah so it's the same. Thanks, accepting when the limit comes off.
– Doug Fir
Nov 15 at 16:44
Ah so it's the same. Thanks, accepting when the limit comes off.
– Doug Fir
Nov 15 at 16:44
add a comment |
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When I put it into simpy it is clearly $3^{(frac 34)}$ as it should be.
– Ross Millikan
Nov 15 at 16:48