## help_people one year ago What is 3 to the power of 2 over 3 equal to? cube root of 9 square root of 9 cube root of 27 square root of 27

1. help_people

@misty1212

2. misty1212

$\huge 3^{\frac{2}{3}}$?

3. mathstudent55

The exponent is 2/3 ?

4. misty1212

$\huge b^{\frac{m}{n}}=\sqrt[n]{b^m}$

5. anonymous

HI!

6. mathstudent55

The numerator of the exponent is an exponent, and the denominator of the exponent is the index of a root.

7. misty1212

HI!!

8. misty1212

in a fraction exponent, the numerator is the power, the denominator is the root

9. misty1212

you got that?

10. help_people

yes the exponent is2/3 @mathstudent55

11. help_people

yes i believe so @misty1212

12. help_people

@mathstudent55 may you finsh the question?

13. mathstudent55

When you have a fraction as an exponent, replace the fraction with an exponent and a root. The numerator tells you the exponent. The denominator tells you the root. For example: |dw:1433802621349:dw|

14. mathstudent55

In your problem, the base is 3. The exponent is 2/3. We use 2 as an exponent, and 3 as an index of a root. |dw:1433802723788:dw|