Final answer:
To write (3y^3)^2 without exponents, we need to square the digit term and multiply the exponent term by 2. Therefore, (3y^3)^2 = 9y^6.
Step-by-step explanation:
To write (3y^3)^2 without exponents, we need to apply the exponent rule for squaring. The digit term inside the parentheses is 3, so we need to square it, which gives us 9. The exponent term inside the parentheses is y^3, so we need to multiply the exponent by 2, which gives us y^6. Therefore, (3y^3)^2 = 9y^6.