Question

All of the following expressions are equal except _____. 2 ^ -3 8 1/8 2^1/2^4 math

Answer 1

Explanation:

Option 1 is $2^{-3}$

Property is : $x^{-y}=\dfrac{1}{x^y}$

So, $2^{-3}=\dfrac{1}{2^3}=\dfrac{1}{8}$

Option 2 is $8\dfrac{1}{8}$

We can write it as : $8\dfrac{1}{8}=\dfrac{8(8)+1}{8}=\dfrac{65}{8}$

Option 3 is $\dfrac{2^1}{2^4}$

Property is : $\dfrac{x^a}{x^b}=x^{a-b}$

So,

$\dfrac{2^1}{2^4}=\dfrac{1}{2^3}\\\\=2^{-3}\\\\=\dfrac{1}{8}$

It is clear that option a and c are same. But option b is different.

Answer 2

Answer:

the one different from The rest is 1/8

Explanation: