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Earn +20 ptsQ: What are Reciprocals and negative exponents?
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What are negative exponents written as?
They can be written as reciprocals with positive exponents. For example, 5-7 = (1/5)7
Do parallel lines have negative reciprocals?
The slope of parallel lines are the same, but the slope of perpendicular lines are negative reciprocals of each other.
What thus the negative exponent denote?
For example, 10 to the power -5 means the same as 1 divided by (10 to the power 5). In general, you can interpret negative exponents this way, with reciprocals.
Two numbers are if their product is -1?
Two numbers are negative reciprocals if their product is -1. The numbers 1/2 and -2 are negative reciprocals. Their product is -1. This is often seen in problems involving the slopes of two lines. The slopes of perpendicular lines are negative reciprocals. Their product is -1.
What are the slopes of perpendicular lines?
Negative reciprocals of one another.
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