Question

Describe why the expression 2^-4 is equivalent to the expression 1/2^4

Answer 1

Answer:

see expression

Step-by-step explanation:

Using the rule of exponents

$a^{-m}$ ⇔ $\frac{1}{a^{m} }$ , then

$2^{-4}$

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

Thus

$2^{-4}$ and $\frac{1}{2^{4} }$ are equivalent expressions

Answer 2

Answer:

Because when a number is raised to negative indice, it automatically becomes a fraction of 1, with the number raised to the positive indice. If the original expression becomes the other..its still equivalent and equal to the same value-just changed to make solving more easier