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Figuring out 10 to the power of any positive integer^{[1] X Research source } is easier than it looks. All you have to do is know that the exponent above the number 10 simply indicates the number of times that you have to multiply 10 by itself.^{[2] X Research source } Once you master this concept, you'll be on your way to being an exponent expert.
Steps

1Find the value of the exponent. Let's say that you're working with trying to find 10^{2}. In this case, the positive integer you're working with is 2.^{[3] X Research source }

2Subtract 1 from the value of the exponent. In this case, 21 = 1, so you're left with 1.Advertisement

3Write this many zeroes after "10" and you're all done. You can also just think of 10^{x} to simply be equal to the number 1 followed by x zeroes.
 In this case, you can see that 10^{2} = 100. This is because you've found the exponent, 2, subtracted 1 from it to get 1, and then added just 1 0 after "10" to get 100, your answer.

4Understand that the exponent is the amount of times that you multiply 10 by itself.^{[4] X Research source } To have a better understanding of how to figure out 10 to the power of any positive integer, or even to take a shortcut, all you have to know is that the exponent just shows the amount of times you'll have to multiply 10 by itself. You can also do this to find your answer.
 For example: 10^{3} = 1000 because 10 x 10 x 10 = 1000.
 10^{4} = 10 x 10 x 10 x 10 or 10,000.
 10^{5} = 10 x 10 x 10 x 10 x 10 = 100,000.
 10^{6} = 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000
 10^{7} = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000

5Know that any number to the power of 0 is 1. Though 0 is neither positive or negative, this can be an important rule to learn as you become more knowledgeable about exponents.^{[5] X Research source } This is as true for 10^{0} as it is for 5,356^{0}.
 Therefore, 10^{0} = 1, 5^{0} = 1, 21^{0} = 1, and so on.
 You can also think of it this way: 10 to the power of 0 is 1 because 0 is the amount of zeros that go after 1 and if zero zeros are after 1, that makes the answer 1.
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Community Q&A

QuestionWhat is the solution for 10 x 10 to the 10?Community Answer10 is the same as 10 to the power of +1. To determine the resultant power of the multiplication, simply add the powers of 10. You get 1+(10) = 9. The answer is 10 to power of 9, or 0.000000001.

QuestionHow do I calculate 10 to the power of 30 divided by 10 to the power of 24?DonaganTop AnswererSimply subtract the second exponent from the first to get the answer, 10^6.

QuestionWhat is 10 to the power of 1.08?LyKaxandra CaimoyCommunity AnswerFirst, convert it to a fraction. The denominator becomes the root for the √ and the numerator is the exponent. For example, 10^(27/25) 25√10^27.

QuestionHow do I find 1.05 to the power of 10?DonaganTop AnswererMultiply 1.05 by itself nine times (not ten).

QuestionWhat is 10 to the power of 3 multiplied by 17.55?DonaganTop Answerer10 x 10 x 10 x 17.55 = 17,550.

QuestionWhat is 68.2 divided by 10 to the 0 power?DonaganTop Answerer10^0 = 1. 68.2 ÷ 1 = 68.2. (Any number  except zero  raised to the power of zero is equal to 1.)

QuestionWhat is 8x10 to the power of 0?Community AnswerIt's the same as 8x1, as the Order of Operations states that powers or "indicies" are before multiplication, division, addition and subtraction, but are after brackets. Your answer is 8.

QuestionHow do I convert 5 to the 3 power?Community Answer5^3 is the original number. When you have a number to a negative power (3 in this case), you flip the entire problem and make the exponent positive. For 5^3, you would then write 1/5^3 (1 over 5 to the 3rd). 5^3 is 125. Your final answer is 1/125.

QuestionHow should I write 601240 using the power of ten?DonaganTop AnswererIf you're referring to scientific notation (or standard form), that number is written 6.0124 x 10^5.

QuestionHow do I find the decimal powers of 10?DonaganTop AnswererDecimal powers are roots. For example, 10^.5 (or 10^½) means the square root of 10.
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References
 ↑ http://mathworld.wolfram.com/PositiveInteger.html
 ↑ https://quatr.us/math/exponentsnumbersmath.htm
 ↑ http://www.purplemath.com/modules/exponent.htm
 ↑ https://www.khanacademy.org/math/prealgebra/prealgebraexponentsradicals/prealgebraordersofmagnitude/v/patternsinzerosexercise
 ↑ http://scienceline.ucsb.edu/getkey.php?key=2626