1.
The exponents follow a pattern, with every other digit being a one:
3^2 = 9
3^4 = 81
3^6 = 729
3^8 = 651
3^10 = 59049
3^12 = 531441
etc.
That means multiply it by 2. If your tens digit is 3, your ones digit is 6.
The quotient is a repeating series of the digits 428571 . . . a pattern of six digits.16 repetitions of the pattern = 96 digits, ready to start the pattern again.The 100th digit is the 4th digit after 96, which is the 4th digit of the pattern ===> 5
3
216.
3
Counting the ' 3 ' before the decimal point, the 100th digit is ' 7 '.Beginning from the decimal point, the 100th digit is ' 9 '.
3
It is 3.
0.4286
the digit in the ones place is the 3
It is a 3. Look at the ones digit of successive powers of 7; this need only be done by considering the multiplication of the ones digit of the previous power of 7 by 7 (as this is the only calculation that affects the ones digit as each successive power of 7 is the previous power multiplied by 7) and taking the result modulus 10 (to extract the new ones digit as any excess over 9 is carried into the tens column): 7¹ → 7 mod 10 = 7 7² → (7×7) mod 10 = 9 7³ → (9×7) mod 10 = 3 7⁴ → (3×7) mod 10 = 1 7⁵ → (1×7) mod 10 = 7 At this point the pattern of the ones digit will obviously repeat the sequence of the four digits {7, 9, 3, 1}. To find the ones digit of any power of 7, take that power modulus 4 use that digit from the four digit sequence. Note that when taking the number modulus 4, the result will be in the range 0-3; when the result is 0, use the 4th digit from the sequence. 2015 mod 4 = 3 → the third digit of {7, 9, 3, 1}, which is 3, will be the ones digit of 7²⁰¹⁵.
The answer depends on what the tens digit is greater than, and what the ones digit does then.
That means multiply it by 2. If your tens digit is 3, your ones digit is 6.
The quotient is a repeating series of the digits 428571 . . . a pattern of six digits.16 repetitions of the pattern = 96 digits, ready to start the pattern again.The 100th digit is the 4th digit after 96, which is the 4th digit of the pattern ===> 5
3
There is a lot of answer for this, but I tell you one. The answer is 6541.
216.