The simplified form of the expressiondisplaystyle{sqrt[{{3}}]{{a}}}{sqrt[{{6}}]{{a}}} text{in radicalnotation is} sqrt{a}.

DofotheroU 2021-03-18 Answered
The simplified form of the expressiona3a6 in radicalnotation is a.
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Expert Answer

Fatema Sutton
Answered 2021-03-19 Author has 88 answers
Formula used:
Steps to simplify radical expression:
Step 1: First convert the radical expression into exponential expressions.
Step 2: Simplify the exponential expression by adding exponents or subtracting exponents.
Step 3: Now, convert the exponential expression into radical expression.
Positive rational exponents:
anm=an/moran/m=anm
Power of product:
(xm)n=xmn
Calculation:
Consider the provided expression, a3a6
Now, convert the provided radical expression into the exponential notationusing formula of positive rational exponents anm=an/m
a3a6=a1/3a1/6 ...... (1)
Now, solve the exponents.
13+16=2+16
=36 ...... (2)
=12
Now put equation (2) in equation (1),
a1/3a1/6=a1/2
Now convert the exponential expression into radical expression using formula
an/m=anm.
a1/2=a
Therefore, the simplified form of the expression a3a6 in radical notation is a.
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Jeffrey Jordon
Answered 2021-10-25 Author has 2027 answers

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