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Question

The number 0.00000000016 when expressed in standard form is written as 1.a×10b. Find the value of (a+1)b.

A
70
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B
61
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C
60
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D
-70
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Solution

The correct option is D -70
0.00000000016=161011
=1.6×101011
=1.6×1010
(Using aman=amn)
Since 1.a×10b=1.6×1010, we have
a=6 and b=10.
(a+1)b=(6+1)(10)=70

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