#### Evaluate integers raised to rational exponents

27^\frac{2}{3}

Anonymous

0

27^\frac{2}{3}

Sangeetha Pulapaka

0

STEP 1: Recall what are exponents

https://www.qalaxia.com/viewDiscussion?messageId=5cdad642f32dc9584bdccefe

STEP 2: Recall what are the rules of exponents

https://www.onlinemathlearning.com/rules-of-exponents.html

STEP 3: Evaluate

27^{\frac{2}{3}}

This can be written as

(27^\frac{1}{3})^{2}

Using our formula for the fractional exponent a^\frac{x}{y} = [math]\sqrt[y]{a^{x}}[/math]

(27^\frac{1}{3})^{2}

= [math]\sqrt[3]{(27)^{2}}[/math]

= [math]\sqrt[3]{(3^{3})^{2}}[/math]

= (3)^{2} = 9

Skills you may want to recall:

What is a fraction

https://study.com/academy/lesson/what-is-a-fraction-definition-and-types.html

How to find the cube root of a number

https://www.mathsisfun.com/numbers/cube-root.html

The multiplication table of 3

https://www.timestables.com/3-times-table.html