Calculating the value of 10 to the power of any positive integer is easier than one might think. What you need to know is that the exponent above 10 indicates how many times the number 10 should be multiplied by itself. Once you have mastered the concept, you are well on your way to becoming an expert in the field of exponents.
Step
Step 1. Find the exponent value
Let's assume that you want to calculate the value of 102. In this case, the positive integer used as the exponent is 2.
Step 2. Subtract the exponent value by 1
In this case, 2-1 = 1, so only 1.
Step 3. Write down as many 0s after "10" as you got from the previous calculation, then you will get the value
You can also assume that 10x equals the number 1 followed by x zeros.
In that case, you can see that 02 = 100. That's because you know that the exponent in the problem is 2, which after subtracting 1 results in 1, then you just need to add 1 zero after "10" to get 100, which is your answer.
Step 4. Understand that the exponent is the number of times the number 10 is multiplied by itself
To understand how to calculate the value of 10 to the power of any positive integer, or to calculate with a shortcut, you just need to know that the exponent represents the number of times the number 10 is multiplied by itself. You can also do that to find answers.
- For example: 103 = 1,000 because 10 x 10 x 10 = 1,000.
- 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 to the power of 0 is one
Although 0 is neither a negative nor a positive number, it is important that you learn the rules as you learn more about exponents. The rule applies at 100, as well as the 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 equals 1 because 0 is the number of zeros that follow the 1, and if there are no zeros after the 1, the answer is 1.
