Here is a task from my son's math paper:
The problem is besides not knowing how to simplify this expression (my math was terribly bad at school and it's already been a long time since that time) I can't quite get it whether it is 125 raised to the power of two or the whole cubic root raised to the power of two.
Can anyone, please, for whom such tasks are a breeze help me determine the exact expression in this task and also give me a clue on how to simplify that expression?
Thank you in advance. Just in case: my son is in the 10th grade, that is, the first grade of senior high school.
The expression is $$\left(\sqrt[3]{-(2^6) \times (3^2) \times 125}\right)^2$$ $$ = (-1 \times 2^6 \times 3^2 \times 5^3)^{2/3}$$ $$ = ((-1)^{1/3})^2 \times 2^4 \times 3^{4/3} \times 5^2$$ $$ = (-1)^2 \times 2^4 \times 3 \times 3^{1/3} \times 5^2$$ $$= 1 \times 2^4 \times 3 \times 5^2 \times \sqrt[3]{3}$$ $$ = 1200\sqrt[3]{3}$$