Question 759904
can you show me how to work the problem: 12 with an exponent of 3/4 divided by 5 with an exponent of 1/3.  If you can tell me how to use a calculator to do it
also would be of great help.
<pre>

First the exact value as a rationalized root:

{{{matrix(2,1,"",12^(3/4)/5^(1/3))}}}

Get the two fraction exponents with a common denominator of 12

{{{3/4=9/12}}}, {{{1/3=4/12}}}

{{{matrix(2,1,"",12^(9/12)/5^(4/12))}}}

{{{root(12,12^9)/root(12,5^4)}}}

{{{root(12,12^9)/root(12,5^4)}}}{{{""*""}}}{{{root(12,5^8)/root(12,5^8)}}}

{{{root(12,12^9*5^8)/root(12,5^12)}}}

{{{root(12,12^9*5^8)/5}}}

{{{root(12,2015539200000000)/5}}}, that's the exact value.

As a decimal approximation 3.77047385

On a calculator, 

(12^(3/4))/(5^(1/3))

Get the decimal approximation 3.77047385

Edwin</pre>