To solve the given expression, we will first simplify the expression inside the parentheses and then combine the exponents:
(x^-2/3 × x^5/3) / x^3/5
Multiply the exponents when multiplying:= x^(-2/3 + 5/3)
= x^(3/3)
= x^1
Now, we have:x^1 / x^3/5
When dividing, subtract exponents:= x^(1 - 3/5)
= x^(5/5 - 3/5)
= x^(2/5)
Therefore, the simplified expression is x^(2/5).
To solve the given expression, we will first simplify the expression inside the parentheses and then combine the exponents:
(x^-2/3 × x^5/3) / x^3/5
Multiply the exponents when multiplying:
= x^(-2/3 + 5/3)
= x^(3/3)
= x^1
Now, we have:
x^1 / x^3/5
When dividing, subtract exponents:
= x^(1 - 3/5)
= x^(5/5 - 3/5)
= x^(2/5)
Therefore, the simplified expression is x^(2/5).