15 - [8 - 4 × (-16 + 4)^2] + 22 ÷ 2 × 5 - 13

asked by guest
on Jan 16, 2025 at 2:58 am



You asked:

Evaluate the expression: 15−(8−4(−16+4)2)+222⋅5−1315 - \left(8 - 4 {\left( -16 + 4 \right)}^{2}\right) + \frac{22}{2} \cdot 5 - 13

MathBot Answer:

15−(8−4(−16+4)2)+222⋅5−13=62515 - \left(8 - 4 {\left( -16 + 4 \right)}^{2}\right) + \frac{22}{2} \cdot 5 - 13 = 625

15−(8−4(−16+4)2)+222⋅5−13=15−(8−4⋅−122)+222⋅5−13=15−(8−4⋅144)+222⋅5−13=15−(8−576)+222⋅5−13=15−−568+222⋅5−13=583+222⋅5−13=583+11⋅5−13=583+55−13=638−13=625\begin{aligned}15 - \left(8 - 4 {\left( -16 + 4 \right)}^{2}\right) + \frac{22}{2} \cdot 5 - 13&=15 - \left(8 - 4 \cdot {-12}^{2}\right) + \frac{22}{2} \cdot 5 - 13\\&=15 - \left(8 - 4 \cdot 144\right) + \frac{22}{2} \cdot 5 - 13\\&=15 - \left(8 - 576\right) + \frac{22}{2} \cdot 5 - 13\\&=15 - -568 + \frac{22}{2} \cdot 5 - 13\\&=583 + \frac{22}{2} \cdot 5 - 13\\&=583 + 11 \cdot 5 - 13\\&=583 + 55 - 13\\&=638 - 13\\&=625\end{aligned}

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