1. The user presents several calculations involving powers and numbers: 2. The first expression is $5 \times 5 \times 5$, which equals $5^3$. Calculating, $5 \times 5 = 25$ and $25 \times 5 = 125$, so $5^3 = 125$. 3. Next, the user wrote "23 - 1 4 base 4" which appears to refer to a number in base 4 or a subtraction problem, but it's unclear. Clarification is needed to provide accurate help. 4. The third expression is $4 \times 4 \times 4 \times 4 \times 4$, which equals $4^5$. Calculating step by step: $4 \times 4 = 16$ $16 \times 4 = 64$ $64 \times 4 = 256$ $256 \times 4 = 1024$ Therefore, $4^5 = 1024$. 5. The description of "A blue curve passing diagonally from bottom-left to top-right is drawn on a lined sheet paper" seems to describe a graphical or visual element, possibly representing a line or function increasing steadily. Final answers: - $5^3 = 125$ - $4^5 = 1024$ Please clarify the second part with base 4 for further assistance.