Question

simplify ⁵√x²⁰y-¹⁰z⁵÷x³/y³​

Answer 1

Answer:

simplify ⁵√x²⁰y-¹⁰z⁵÷x³/y³

Here We can write:

( x^20. y^10- z^5 )^1/5 ÷ x^3/y^3

Answer 2

Answer:

xyz

Step-by-step explanation:

Here, the question is 5 rooted over (x²⁰ × y-¹⁰ × z⁵) and is divided by x³/y³.

So, we will solve this as,

To clear the root ⁵ we will multiply (x²⁰ × y-¹⁰ × z⁵) by 1/5,

After multiplying each of the variables and cancelling their powers, we will get x⁴ × y-² × z¹ ÷ x³/y³

Now, we will use the quotient law to subtract the powers of x and y where x⁴-³ = x¹ and in the case of y thepower will be added bcoz y is divided by x so divide × divide = multiply. y-²+³ = y¹

So we will get x¹y¹z¹ = xyz.

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