The solution to the given expression [tex]\sqrt[4]{6561a^{12}b^{8}}[/tex] will be 9a³b². The correct option is D.
What is a radical expression?
The square root or nth roots are represented by the symbol. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression will be solved as below:- First, write the expression as 9a³b² to the power of 4 and whole to the power of one by four. Simplify the given expression below:-
[tex]\sqrt[4]{6561a^{12}b^{8}}=[(9a^3b^2)^4]^{\frac{1}{4}}\\\sqrt[4]{6561a^{12}b^{8}}=9a^3b^2[/tex]
Therefore, the solution to the given expression [tex]\sqrt[4]{6561a^{12}b^{8}}[/tex] will be 9a³b². The correct option is D.
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