Question

Express the following number in the exponential form: $\frac{1}{512}$

Answer 1

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Here is your answer.

$= \frac{1}{512} \\ \\ = \frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ \\ = \frac{1}{ {2}^{9} } \\ \\ = {2}^{ - 9}$

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Answer 2

Solution :

2 | 512
_______
2 | 256
_______
2 | 128
_______
2 | 64
_______
2 | 32
_______
2 | 16
_______
2 | 8
_______
2 | 4
_______
***2

Therefore ,

Exponential form of 1/512

= 1/2^9

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