The answer to 100 raised to the power of 1/3 is 10. This is because raising a number to a fractional power is the same as taking the root of the number.

## Calculating the Root of a Number

To calculate the root of a number, you divide the exponent by the root number. For example, to calculate the cube root of 10, you would divide 3 (the exponent) by 3 (the root number), which is 1. This means the cube root of 10 is 10^1.

## Calculating the Fractional Power of a Number

To calculate the fractional power of a number, you divide the exponent by the root number. For example, to calculate the power of 10 with an exponent of 1/3, you would divide 1 (the exponent) by 3 (the root number), which is 1/3. This means the power of 10 with an exponent of 1/3 is 10^1/3.

## Calculating the Fractional Power of a Number with an Exponent of 1

To calculate the fractional power of a number with an exponent of 1, you simply take the root of the number. For example, to calculate the power of 10 with an exponent of 1/3, you would take the cube root of 10, which is 10^1. This means the power of 10 with an exponent of 1/3 is 10^1/3, which is equal to 10.

## Related Questions

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