1. The problem asks to rewrite the left side of the equation $2x^3 y^5 = 8x^3 y^5$ by adding parentheses to make a true statement. 2. We start with the original expression on the left: $2x^3 y^5$. 3. The right side is $8x^3 y^5$, which suggests the left side should equal $8x^3 y^5$. 4. To make the left side equal to the right side, we need to multiply $2$ by something that results in $8$ when combined with $x^3 y^5$. 5. Since $2 \times 4 = 8$, we can rewrite the left side as $2(x^3 y^5)^4$. 6. Let's verify this: $$2(x^3 y^5)^4 = 2(x^{3 \times 4} y^{5 \times 4}) = 2x^{12} y^{20}$$ 7. This is not equal to $8x^3 y^5$, so this is incorrect. 8. Another approach is to add parentheses to group terms differently. For example, $(2x^3) y^5$ or $2 (x^3 y^5)$. 9. Both are equivalent to the original expression and equal $2x^3 y^5$, which is not equal to $8x^3 y^5$. 10. To make the left side equal to $8x^3 y^5$, we can multiply the entire expression by $4$ inside the parentheses: $$ (2 \times 4) x^3 y^5 = 8x^3 y^5$$ 11. So, adding parentheses as $(2 \times 4) x^3 y^5$ makes the statement true. 12. Therefore, the rewritten expression with parentheses is: $$ (2 \times 4) x^3 y^5 $$ which simplifies to $8x^3 y^5$. Final answer: $(2 \times 4) x^3 y^5$