Question

Which expression is equivalent to (One-sixteenth) Superscript negative 4?

Answer 1

Answer:

16^4

Step-by-step explanation:

Answer 2

Answer:

65,536

Step-by-step explanation:

Since there are no options, I would simply simplify the expression given.

One-sixteenth=$\frac{1}{16}$

We want to determine an equivalent expression to $(\frac{1}{16})^{-4}$

Now, from laws of indices (i) $a^{-1}=\frac{1}{a}$  (ii)$a^{mn}=(a^m)^n$

Therefore applying Rule (ii) above: $(\frac{1}{16})^{-4}$= $(\dfrac{1}{16})^{-1X4}=[(\dfrac{1}{16})^{-1}]^4$

Using Rile (i),

$(\dfrac{1}{16})^{-1}=\dfrac{1}{\dfrac{1}{16}}=16$

Therefore $[(\dfrac{1}{16})^{-1}]^4 =16^4=65536$