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Power of 10 Calculator

Created by Arturo Barrantes
Reviewed by Luis Hoyos
Last updated: Jan 18, 2024


The Power of 10 calculator is a helpful tool that obtains the result of 10 to the power of 2, 3, 5, or any number, including the negative ones. Impressive, huh? This article will explain how to calculate ten raised to any power.

What is the power of 10?

In math, the power of a number belongs to the category of exponential functions. Expo what? Don't worry; it's just its name. In this category, we use two new terms: the base and the exponent.

In summary, the power of a number refers to how many times (the exponent) we will have to multiply that number (the base). Let's put an example:

10 to the power of 5 (10 is the base, and 5 is the exponent), which we can write as 10510^5 means 10 x 10 x 10 x 10 x 10. If we resolve, 10 to the power of 5 means 100,000. You can verify it in our power of 10 calculator.

How to calculate the power of 10 with any exponent?

Regarding calculating the power of 10, we will use the method explained above but modify it slightly in case we get a negative exponent.

Let's calculate 10 to the power of 3: 10310^3 means 10 x 10 x 10, which resolves to 1000.

However, for a negative exponent, we use the reciprocal of 10 and then follow the same steps. Here is an example:

  1. Write the reciprocal of 10, which is 110\frac{1}{10}.
  2. Find out the exponent. Imagine we have -5
  3. Multiply the new base as many times as the exponent indicates
  4. In our example, 10 to the power of -5 equals: 110×110×110×110×110=1100000\frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} = \frac{1}{100000} .
  5. Convert it to decimal. Finally, 10 to the power of 5 is 0.00001.

Other useful tools like the power of 10 calculator

Since you already know how to calculate 10 to the power of any number, you can take a look at other related tools:

FAQ

What is 10 to the power of 5?

The result is 100,000. You can use the Omnicalculator's tool: Power of 10 calculator or:

  1. Determine the power to which it's raised. In this case, it's 5.
  2. Multiply five times the base: 10 x 10 x 10 x 10 x 10. The result is 100,000.

What is 10 to the power of 2?

The result is 100. You can use the Omnicalculator's tool: Power of 10 calculator or:

  1. Determine the power to which it's raised. In this case, it's 2.
  2. Multiply two times the base: 10 x 10. The result of 10 to the power of 2 is 100.

What is 10 to the power of 3?

The result is 1000. You can use the Omnicalculator's tool: Power of 10 calculator or:

  1. Determine the power to which it's raised. In this case, it's 3.
  2. Multiply three times the base: 10 x 10 x 10. The result is 100.
Arturo Barrantes
10x = a
Exponent (x)
Result (a)
Step-by-step solution
• Let's calculate:
10x = a
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