Simplify Term 1
27^2/3
Simplify the rational exponent:
272/3
Analyze Fractional Exponent:
ab/c = (c√a)b
Take the cth root of a
Then raise that to the power of b
In this case, a = 27, b = 2, and c = 3
Evaluate the 3rd root of 27:
3√27 = 3 since 33 = 27
as seen in our Exponent Lesson
Raise this value to the power of 2:
Therefore, we can write 272/3 = 9
Final Answer
272/3 = 9
Common Core State Standards In This Lesson
HSN.RN.A.1, HSN.RN.A.2
What is the Answer?
272/3 = 9
How does the Rational Exponents - Fractional Indices Calculator work?
Free Rational Exponents - Fractional Indices Calculator - This calculator evaluates and simplifies a rational exponent expression in the form ab/c where a is any integer or any variable [a-z] while b and c are integers. Also evaluates the product of rational exponents
This calculator has 1 input.
This calculator has 1 input.
What 1 formula is used for the Rational Exponents - Fractional Indices Calculator?
ab/c = (c√a)b
What 4 concepts are covered in the Rational Exponents - Fractional Indices Calculator?
- exponent
- The power to raise a number
- rational
- rational exponents - fractional indices
- simplify
- reducing the expression/fraction/problem in a simpler form.
