How to Raise 10 to a Power of Any Positive Integer

2024 Author: Samantha Chapman | [email protected]. Last modified: 2024-01-15 13:47

Raising 10 to the power of any positive integer is much easier than it looks. All you need to know is that the exponent written above simply represents the number of times you need to multiply 10 by itself. Once you have fully grasped this concept, you will have already begun your journey to become an expert on powers.

Steps

Step 1. Find the exponent value

Let's say you're trying to find 10². In this case, the positive integer you are dealing with is 2.

Step 2. Subtract 1 from the exponent value

In our case, 2-1 = 1, so it remains 1.

Step 3. Write after the "10" as many zeros as correspond to the value of the number just found

You can also just think that 10^x it is in fact equivalent to the number 1 followed by x zeros.

In our case, you can well verify that 10² = 100. The result is obtained after subtracting 1 from the exponent 2, obtaining 1 and then adding this one "0" after the "10" and obtaining 100, the required result.

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

To get a better understanding of how to raise 10 to the power of any positive integer, or even just to get a quicker result, all you need to know is that the exponent simply indicates the number of times 10 is multiplied by itself. same. You can also follow this procedure to find the result.

• 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

Step 5. Know that any number raised to the power of 0 gives 1 as a result

Although 0 is neither positive nor negative, it is a rather important rule to learn in order to have a deeper understanding of the powers. Applies to 10⁰ as for 5.356⁰.

• So 10⁰ = 1, 5⁰ = 1, 21⁰ = 1, and so on.
• You can also think of it this way: 10 raised to 0 is 1 because 0 corresponds to the number of zeros following 1 (of 10) and so if there are 0 zeros after 1, the result will be 1.

Things You Will Need

• Computer to search for these proceedings (optional)
• Math books (optional)
• Calculator (optional)