Simplification
Exponents 125^2/3

Question

Simplification
Exponents 125^2/3

koikkara · Answer

1041.67

anonymous · Answer

its asking for fraction answer how i do that

anonymous · Answer

@Directrix

er.mohd.amir · Answer

125=5*5*5
=(5^3)^2/3
=5^2
=25

anonymous · Answer

ok whats the steps to get the answer i dont just need the answer im trying to see how to get the answer even doe its right

directrix · Answer

>>its asking for fraction  

Do you mean a common fraction or maybe a fractional exponent?

anonymous · Answer

no its not asking for one

koikkara · Answer

hmm, i get it... is it like, 
From this we can say that (125) ^ ⅔ is 2 times the cube root of 125. 
So, (5)³ * ⅔ . 
=> (5)² 
=> 25. 
So, (125) ^ ⅔ = 25

koikkara · Answer

now this looks fraction $\huge(125) ^ ⅔$

directrix · Answer

You posted this: its asking for fraction answer how i do that

That is why I asked.


Let me ask this. 

In class, are you using properties of exponents or are you converting to radicals to solve this type problem?

koikkara · Answer

then the answer is $\huge(5)³ * ⅔ $

anonymous · Answer

forget that i said that sorry but @Koikkara  got the answer right which is 25 but i trying to figure out how to know how to get the answer

koikkara · Answer

$\huge½$ --> square root of that number. 
$\huge⅓ $--> cube root of that number.

koikkara · Answer

125 is a cube root of 5