Question

What will be the sign of the product if we multiply together:(a) (-3),2m+1 times where m is a natural number?(b) (-4),2m times where m is a natural number?

Answer 1

Answer:

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Explanation:

(1) 2m+1 always represent an odd number

also,

when a negative integer have an odd number as power than the result is also negative.

so,

(-3)^2m+1 is negative for all m belongs to natural numbers.

(2) 2m always represent an even number.

also,

when a negative integer have an even number as power than the result is positive.

so,

(-4)^2m is positive for all m belongs to natural numbers.

Hope this helps you...

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