27^\frac{2}{3}
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