243^1/5
Simplify Term 1
243^1/5
Simplify the rational exponent:
2431/5
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 = 243, b = 1, and c = 5
Evaluate the 5th root of 243:
5√243 = 3 since 35 = 243
as seen in our Exponent Lesson
Raise this value to the power of 1:
Therefore, we can write 2431/5 = 3
Final Answer
2431/5 = 3
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What is the Answer?
2431/5 = 3
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
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What 1 formula is used for the Rational Exponents - Fractional Indices Calculator?
What 4 concepts are covered in the Rational Exponents - Fractional Indices Calculator?
exponentThe power to raise a numberrationalrational exponents - fractional indicessimplifyreducing the expression/fraction/problem in a simpler form.Example calculations for the Rational Exponents - Fractional Indices Calculator
Rational Exponents - Fractional Indices Calculator Video
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Elina Uphoff
Update: 2024-06-03