What is the value of ?

Question

What is the value of 16^5/4?

Answer 1

The 4th root of 16 raised to the 5 power should be looked at as

 

16 raised to the fractional power 5/4 or the 4th root of 16 = 2

 

then 2 raised to 5  - 32.

Answer 2

16^(5/4)=(16^1)(16^[1/4])  (1 + 1/4=5/4)

(16^1)=16

(16^[1/4])=2 (you want the fourth root of 16, that is, x⁴=16 and what number raised to the fourth power is 16 ? 2 raised to the fourth power is 16)

16*2=32 is the answer

you can do it out the long way...

(16⁵)^(1/4)=(1,048,576)^(1/4) means x⁴=1,048,576, what is x ?, x=32, 32⁴=1,048,576