Question

the value of 4√16^-2​

Answer 1

1/4 (or) 0.25

hope it helps you

Answer 2

We must recall that:

$\frac{a^m}{a^n}=a^m^-^n$

and

$a^m=\frac{1}{a^-^m}$

or

$a^-^m=\frac{1}{a^m}$

$(a^m)^n=a^m^n$

Given,

$4(\sqrt{16})^-^2$

Now,

$\frac{4}{(\sqrt{16})^2 } \\\frac{4}{(16)^\frac{1}{2}^\times^2 }\\ \frac{4}{16}\\ \frac{1}{4}$

Hence answer is $\frac{1}{4}.$