Is a full moon is nine times brighter than a half moon?

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That's about right. When full, the Sun's light is reflected more directly AT the Earth, while at the quarters, much of the light that hits the Moon is reflected away - and only a small portion is scattered toward the Earth.
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Is the moon brighter than the stars?

no stars are very bright and the mooon has no light of its own it reflects the light of the sun which is a star -------------------------------------------------------------

What is the time period between the half moon and the full moon?

Answering "What is the time period between the half moon and the full moon?" . [advanced answering tips]. To provide additional information with a web link, click here ins

By what factor is the sun brighter than the full moon?

The sun's apparent magnitude is -26.74, while the mean apparent magnitude of the full moon is -12.74, so their magnitudes differ by a convenient 14 . 6 magnitudes = a fac
In Planet Venus

Is the moon brighter than Venus?

When you see it up in the sky, yes! Venus is the second brightest object in the night sky. Our moon is first.