1. **State the problem:** Simplify the expression $3 \times 2^3 + 3^2 \times (3 \times 5 - 2^3) - 3^2 \times 7 - 2^1 \times 5$. 2. **Recall exponent rules:** - $a^b$ means $a$ multiplied by itself $b$ times. - Calculate powers first before multiplication or addition. 3. **Calculate powers:** - $2^3 = 8$ - $3^2 = 9$ - $2^1 = 2$ 4. **Substitute powers into expression:** $$3 \times 8 + 9 \times (3 \times 5 - 8) - 9 \times 7 - 2 \times 5$$ 5. **Calculate inside parentheses:** $$3 \times 5 = 15$$ So, $$3 \times 8 + 9 \times (15 - 8) - 9 \times 7 - 2 \times 5$$ 6. **Simplify parentheses:** $$15 - 8 = 7$$ Expression becomes: $$3 \times 8 + 9 \times 7 - 9 \times 7 - 2 \times 5$$ 7. **Calculate multiplications:** $$3 \times 8 = 24$$ $$9 \times 7 = 63$$ $$9 \times 7 = 63$$ $$2 \times 5 = 10$$ Expression is: $$24 + 63 - 63 - 10$$ 8. **Simplify by canceling terms:** $$24 + \cancel{63} - \cancel{63} - 10 = 24 - 10$$ 9. **Final calculation:** $$24 - 10 = 14$$ **Answer:** $14$