What is (10^{11}+1)/(11^2) ?

The solution to (10^{11}+1)/(11^2) is 826446281

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(10^{11}+1)/(11^2)

\frac{1 0 ^{11} + 1}{1 1 ^{2}}

826446281

Solution steps

\frac{1 0 ^{11} + 1}{1 1 ^{2}}

Solve

1 0^{11} + 1 : 100000000001

Follow the PEMDAS order of operations

Calculate exponents

1 0^{11} : 100000000000

1 0^{11}

1 0^{11} = 100000000000

= 100000000000

= 100000000000 + 1

Add and subtract (left to right)

100000000000 + 1 : 100000000001

100000000000 + 1

100000000000 + 1 = 100000000001

= 100000000001

= 100000000001

Solve

1 1^{2} : 121

1 1^{2} = 121

= 121

= \frac{100000000001}{121}

Divide the numbers:

\frac{100000000001}{121} = 826446281

= 826446281

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