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Step2247 [10]
3 years ago
7

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

Medicine
2 answers:
Brilliant_brown [7]3 years ago
8 0

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.

Komok [63]3 years ago
5 0

Answer:

the one different from The rest is 1/8

Explanation:

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