a classmate ask you to check their answer to this problem:
simplify: (x^2y^3)^3 +(x^3y^3)^0
they got x^6y^9 as their final answer. are they corrcet?
No, the classmate's answer is not correct.
To simplify the expression (x^2y^3)^3, we need to apply the exponent to every term inside the parentheses. This means we multiply each exponent by 3:
(x^2y^3)^3 = x^(2*3) * y^(3*3) = x^6 * y^9
Next, to simplify (x^3y^3)^0, any term raised to the power of 0 equals 1:
(x^3y^3)^0 = 1
Therefore, the simplified expression is x^6y^9 + 1.