Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers. sqrt{x^{5}}

coexpennan 2021-02-06 Answered
Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers. x5
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Expert Answer

Maciej Morrow
Answered 2021-02-07 Author has 98 answers

“For any rational exponent m/n in lowest terms, where m and n are integers and n > 0, we define.
am/n=(an)m=amn
If n is even, then we require that a  0.
Calculation:
x5
Consider the given expression,
x5=(x5)12
Apply Law of exponents am/n=(an)m=amn we get,
(x5)1/2=x52
Therefore the expression x5 simplifies to x52
Final Statement:
The expression x5 simplifies to x52

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