Question

Can a warm soul please help me with finding the value of 8^4/3 ? Pleassee

Answer 1

what if I have a cold soul?

Answer 2

\[8^{\frac{ 4 }{ 3 }}\] it be nice if you still help me

Answer 3

the world is full of different races ethnicities and temperatures....

Answer 4

idk how to do it :P

Answer 5

There is a nice property of exponents that can help you here, it has the follwing form:
\[A ^{\frac{ m }{ n }}=\sqrt[n]{A^m}\]
This only means, that any exponent that is composed of a fraction, can be respresented as a radical, straight forward.
So, in your excercise:
\[8^{\frac{ 4 }{ 3 }}\]
has the same form as the property, being m=4 and n=3 so, let´s transform it:
\[8^{\frac{ 4 }{ 3 }}=\sqrt[3]{8^4}\]
but 8^4 = 4096
so:
\[\sqrt[3]{8^4}= \sqrt[3]{4096}\]
and you can calculate that with your calculator.

Answer 6

Thank you :)