id	title	challengeType	forumTopicId	dashedName
5900f3ab1000cf542c50febe	Problem 63: Powerful digit counts	5	302175	problem-63-powerful-digit-counts

--description--

The 5-digit number, 16807 = 7⁵, is also a fifth power. Similarly, the 9-digit number, 134217728 = 8⁹, is a ninth power.

How many n-digit positive integers exist which are also an nth power?

--hints--

powerfulDigitCounts() should return a number.

assert(typeof powerfulDigitCounts() === 'number');

powerfulDigitCounts() should return 49.

assert.strictEqual(powerfulDigitCounts(), 49);

function powerfulDigitCounts() {

  return true;
}

powerfulDigitCounts();

// solution required