The simplified solution when 21x⁶y⁵ divided by 14xy⁹ is 3y⁴/2x⁴.
Algebraic expressions are mathematical expressions made up of variables and constants along with arithmetic operations. These four major arithmetic operations are - addition, subtraction, multiplication, and division.
While solving algebraic expressions we can need to note that the operations can be carried out between the same variables only.
Let us divide 21x⁶y⁵ by 14xy⁹ to find the quotient as follows-
= 21x⁶y⁵/ 14xy⁹
dealing with the same variables,
= 3/2 [x⁶⁻¹][y⁵⁻⁹]
Using indices rules to simplify the indexes of the variables.
= 3/2 [x⁴][y⁻⁴]
Thus, the required simplified solution of the given expressions is 3y⁴/2x⁴.
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