Powers of powers of powers!

Number Theory Level 2

Find the last digit of: $\huge \color{#D61F06}{99}^{\color{#3D99F6}{98}^{\color{#20A900}{97}^{\cdot^{\cdot^{\cdot^{\color{#EC7300}2^{\color{maroon}1}}}}}}}$

The answer is 1.

1 solution

A Former Brilliant Member
Apr 19, 2016

Note that $\huge \color{#3D99F6}{98}^{\color{#20A900}{97}^{\cdot^{\cdot^{\cdot^{\color{#EC7300}2^{\color{maroon}1}}}}}}$ is even.

So last digit of $\huge \color{#D61F06}{99}^{\color{#3D99F6}{98}^{\color{#20A900}{97}^{\cdot^{\cdot^{\cdot^{\color{#EC7300}2^{\color{maroon}1}}}}}}}$ is $\boxed{1}$ .

@Irvan Ary Maulana Nugroho I had initially posted this as a report by mistake. So sorry.

A Former Brilliant Member - 5 years, 1 month ago

Haha, no problems... Thanks for posted your solution :)

Irvan Ary Maulana Nugroho - 5 years, 1 month ago

The answer to this question should be multiple choice, not a number because the answer is either 1 or 9. So any one can answer this question by two trials.

Ossama Ismail - 3 years, 9 months ago

Powers of powers of powers!

The answer is 1.

1 solution

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