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27^2/3

-243^1/5

w^7/4

What is the 5th root of 243

4^1/2*4^5/2 Excel Download for Members Only Quizzes Available for Members Only Unlimited Practice Problem Generator for Premium Users Only Flashcards for Members Only

__Term 1__

Simplify the rational exponent 27^{2/5}

__Analyze Fractional Exponent:__

^{th} root of a, and then raise that value to the power of b

In this case, a = 27, b = 2, and c = 5

__Evaluate the 5__^{th} root of 27:

There is no integer answer for this problem since root 5 of 27 does not exist as an integer

27^2/3

-243^1/5

w^7/4

What is the 5th root of 243

4^1/2*4^5/2 Excel Download for Members Only Quizzes Available for Members Only Unlimited Practice Problem Generator for Premium Users Only Flashcards for Members Only

Simplify the rational exponent 27

That is equivalent to saying we take the cThe rule of fractional exponents states that a^{b/c}is evaluated as follows:

a^{b/c}= (^{c}√a)^{b}

In this case, a = 27, b = 2, and c = 5

There is no integer answer for this problem since root 5 of 27 does not exist as an integer