Simplifying Expressions Involving Radicals Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers.NKSsqrt{x^{5}}x5

babeeb0oL 2021-01-16 Answered

Simplifying Expressions Involving Radicals Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers.  x5x5

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Expert Answer

gwibdaithq
Answered 2021-01-17 Author has 84 answers

Step 1
"For any rational exponent mn mn in lowest terms, where mm and nn are integers and n>0, n>0 we define amn=(n{a})m=n{am}amn(an)m=amn
If nn is even, then we require that a0a0"
Step 2
x5x5
Consider the given expression,
x5x5=(x5)12(x5)12
Apply Law of exponents amn=(n{a})m=n{am}amn=(an)m=amn we get,
(x5)12=x52(x5)12=x52
Therefore the expression x5x5 simplifies to x52x52

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Jeffrey Jordon
Answered 2021-10-27 Author has 2027 answers

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