Question

simplify : (i) (16^-1/5)^5/2

Answer 1

Step-by-step explanation:

(16^-1/5)^5/2

= 16^-1/2

= 1/16^2

= 1/256 is right answer

Answer 2

Answer:

1/4 and 0.25 decimal

Step-by-step explanation:

Apply exponent rule.

$\displaystyle(a^b)^c=a^b^c$

$\displaystyle 16(^-^\frac{1}{5})\frac{5}{2}$

$\displaystyle (-\frac{1}{5})\frac{5}{2}=-\frac{1}{2}$

$\displaystyle 16^-^\frac{1}{2}$

$\displaystyle \frac{1}{16^\frac{1}{2} }$

$\displaystyle 16^\frac{1}{2}=4$

$\displaystyle=\frac{1}{4}=0.25$, which is our answer.