Question

the number of digits in 8 power 15 multiply 5 power 40
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Answer 1

It will have 13 digits.

Step-by-step explanation:

2

2×2=4

2×2×2=8

2×2×2×2=16

WHEN ANY NUMBER STARTS GETS MULTIPLIED BY A DOUBLE DIGIT ITS VALUE INCREASE 10 TIMES . IN THIS QUESTION 2^3 TIMES OF MULTIPLICATION THE NUMBER OF DIGITS REMAIN SAME ,AS WE MULTIPLY IT BY 2 ONCE MORE NUMBER OF DIGITS INCREASE BY 1.

SO THAT WOULD BE 40/3=13 (INTEGRAL VALUE) .

2^40=(2^3)^13×2

AS ONLY ONE 2 IS LEFT IN THE END THE NUMBER OF DIGITS WONT'S INCREASE AFTER 13.

HOPE YOU UNDERSTAND.

THNAK YOU!