Question

Simplify [16 POWER 1/5]5/2

Answer 1

Step-by-step explanation of Answer:

(16^1/5)^5/2

by considering super script

1/5 multiplied by 5/2=1/2

16^1/2=$\sqrt{16}$=4

PLEASE MARK BRAINLIEST

Answer 2

Step-by-step explanation:

If your Question is (16^⅕)^(5/2)

then, we know that,

(a^m)^n = a^(m × n) = a^(mn)

so, here if we use the same property, we get

(16^⅕)^(5/2) = 16^((1/5) × (5/2))

= 16^(1/2)

= √16 = 4

OR

We know that, 16 = 4² so,

16^(1/2) = (4²)^(1/2)

= 4^(2 × (1/2))

= 4¹ = 4

Now, If your Question is (16^⅕)^(-5/2)

then, similarly

(16^⅕)^(-5/2) = 16^((1/5) × (-5/2))

= 16^(-1/2)

= (4²)^(-1/2)

= 4^(-1) = 1/4 = 0.25

Hope it helped and you understood it........All the best