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Question

Fill in the blank to make the statement true:

-143×-14__=-1411


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Solution

Find the missing exponent.

Given equation: -143×-14__=-1411

We know that for any non-zero integer a and whole numbers m and n, am×an=am+n

By comparing the given equation with am×an=am+n, we can say a=-14,m=3 and m+n=11

By substituting the value of m in m+n=11 we get,

3+n=11n=11-3n=8

So, the missing exponent is 8.

Hence, -143×-148=-1411


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