In this post, we are going to learn how to **raise numbers to powers when the base is composed of zeros**. Remember that powers serve to allow us to write a multiplication problem of the same number several times in a simpler way.

For example, 4x4x4x4x4.

We are multiplying the number 4 a total of 5 times. To put this multiplication in the form of powers we first write the 4 and then above and to the right we write a small number 5.

**4 **^{5}

^{5}

**Powers of base 10**

The exponent indicates how many zeros we should put after the result.

Examples:

**10 ^{2}** → Since the exponent is 2 we have to put 2 zeros:

**10**=

^{2}**100**

**10 ^{5}** → Since the exponent is 5 we have to put 5 zeros:

**10**=

^{5}**100**

**,000**

**Powers of base 100**

Since 100 has 2 zeros we have to write two zeros as many times as the exponent indicates.

Examples:

**100 ^{2}**→ Since the exponent is 2 we have to write 2 zeros twice:

1 00 00

**100 ^{2} = 10,000**

**100 ^{4} **→ Since the exponent is 4 we have to write 2 zeros four times:

1 00 00 00 00

**100 ^{4} = 100,000,000**

For any base with more zeros we should carry out the same procedure: take note of the number of zeros in the base and repeat that number of zeros as many times as the number that there is in the exponent.

**Powers of numbers followed by zeros**

If the base is a number followed by zeros we only have to raise the number to the exponent and then put as many zeros as we need.

Examples:

**20 ^{3}** → First we calculate

**2**

^{3}**= 8**then we add 3 zeros:

**20 ^{3} = 8,000 **

If you have enjoyed this post and want to learn more check out Powers in Math

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### Learn More:

- Learn More about Exponents
- Powers: What They Are and What They Are For
- Powers in Math
- Learn about the Importance of the Parentheses in Powers
- Properties of Powers II

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