How to Figure out 10 to the Power of Any Positive Integer

Find the value of the exponent., Subtract 1 from the value of the exponent., Write this many zeroes after "10" and you're all done., Understand that the exponent is the amount of times that you multiply 10 by itself., Know that any number to the...

5 Steps 2 min read Medium

Step-by-Step Guide

  1. Step 1: Find the value of the exponent.

    Let's say that you're working with trying to find
    102.

    In this case, the positive integer you're working with is
    2., In this case, 2-1 = 1, so you're left with
    1. , You can also just think of 10x to simply be equal to the number 1 followed by x zeroes.

    In this case, you can see that 102 =
    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. , 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: 103 = 1000 because 10 x 10 x 10 =
    1000. 104 = 10 x 10 x 10 x 10 or 10,000. 105 = 10 x 10 x 10 x 10 x 10 = 100,000. 106 = 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 107 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000 , Though 0 is neither positive or negative, this can be an important rule to learn as you become more knowledgeable about exponents.

    This is as true for 100 as it is for 5,3560.

    Therefore, 100 = 1, 50 = 1, 210 = 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.
  2. Step 2: Subtract 1 from the value of the exponent.

  3. Step 3: Write this many zeroes after "10" and you're all done.

  4. Step 4: Understand that the exponent is the amount of times that you multiply 10 by itself.

  5. Step 5: Know that any number to the power of 0 is 1.

Detailed Guide

Let's say that you're working with trying to find
102.

In this case, the positive integer you're working with is
2., In this case, 2-1 = 1, so you're left with
1. , You can also just think of 10x to simply be equal to the number 1 followed by x zeroes.

In this case, you can see that 102 =
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. , 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: 103 = 1000 because 10 x 10 x 10 =
1000. 104 = 10 x 10 x 10 x 10 or 10,000. 105 = 10 x 10 x 10 x 10 x 10 = 100,000. 106 = 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 107 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000 , Though 0 is neither positive or negative, this can be an important rule to learn as you become more knowledgeable about exponents.

This is as true for 100 as it is for 5,3560.

Therefore, 100 = 1, 50 = 1, 210 = 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.

About the Author

E

Eugene King

Eugene King has dedicated 9 years to mastering education and learning. As a content creator, Eugene focuses on providing actionable tips and step-by-step guides.

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