Multiply.
(x^5y5/3)^2
Is the 5 after the y an exponent?
Yes, 5/3 (fraction) after the y is an exponent.
To multiply the expression (x^5y^5/3)^2, we need to simplify it step by step.
Step 1: Apply the power rule.
To raise a power to a power, multiply the exponents within the parentheses. In this case, we have (x^5y^5/3)^2. So, we'll multiply the exponents 5 and 2 for x, as well as 5/3 and 2 for y:
(x^5)^2 * (y^5/3)^2
Step 2: Simplify the exponents.
To simplify an exponent raised to a power, multiply the exponents.
For x, we multiply 5 and 2.
5 * 2 = 10
For y, we multiply 5/3 and 2.
(5/3) * 2 = 10/3
Substituting the simplified exponents into the expression:
x^10 * y^(10/3)
So, the expression (x^5y^5/3)^2 simplifies to x^10 * y^(10/3).