---
id: 5900f3a41000cf542c50feb7
challengeType: 5
title: 'Problem 56: Powerful digit sum'
forumTopicId: 302167
---

## Description
<section id='description'>

A googol (10<sup>100</sup>) is a massive number: one followed by one-hundred zeros; 100<sup>100</sup> is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only 1.

Considering natural numbers of the form, <var>a<sup>b</sup></var>, where <var>a</var>, <var>b</var> < 100, what is the maximum digital sum?

</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>powerfulDigitSum()</code> should return a number.
    testString: assert(typeof powerfulDigitSum() === 'number');
  - text: <code>powerfulDigitSum()</code> should return 972.
    testString: assert.strictEqual(powerfulDigitSum(), 972);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function powerfulDigitSum() {

  return true;
}

powerfulDigitSum();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>