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Question

Find the value of m, if (10)m+1 × (10)5 = (10)7.


A

-1

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B

1

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C

2

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D

3

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Solution

The correct option is B

1


(10)m+1× (10)5 = (10)7

(10)m+1+5 = (10)7
[am×an = a(m+n)]

(10)m+6 = (10)7

Since their bases are equal, their exponents must be equal.

m + 6 = 7

m = 7 – 6 = 1


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