after dividing and simplifying the expression 4√162 x⁴ / 4√2 y⁸, we get the result as 9 x ⁴ / y⁸.
We are given the expression
4√162 x⁴ / 4√2 y⁸
We need to divide the expression and simplify it.
First, cancelling the terms that are same in the numerator and the denominator:
√162 x⁴ / √2 y⁸
Now , using the properties of the exponents, we get that:
= √81 x⁴ / y⁸
= 9 x ⁴ / y⁸
Therefore, after dividing and simplifying the expression 4√162 x⁴ / 4√2 y⁸, we get the result as 9 x ⁴ / y⁸.
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