Question

find the value of 243 raised to the power 3/5

Answer 1

243 raised to power 3/5
243 can be written as( 3 raised to the power 5)
3 raised to the power will be multiply by the 3/5 .... 3 raised to the power 5 multiply by 3/5 so the answer will get 3 raised to the power3 this means the value will be 27.......


HENCE the answer is 27

Answer 2

Given : 243 raised to the power 3/5

To find : The value of 243 raised to the power 3/5

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the given term)

Here, we will be using general rules of indices. ( applying rules is necessary, because manual calculations will be very difficult)

So,

$= {(243)}^{ \frac{3}{5} }$

$= {[ {(3)}^{5} ]}^{ \frac{3}{5} }$

$= {(3)}^{5 \times \frac{3}{5} }$

$= {( 3)}^{3}$

$= 27$

(This will be considered as the final result of the given mathematical problem.)

Used rule :

• ${({x}^m)}^n = {x}^{m.n}$

Hence, the value of 243 raised to the power 3/5 is 27