Evaluate the expression. $$ (-2)^{3}-3 \cdot\left(3^{3}+5\right)-4 $$

Question

UpStudy AI · Accepted Answer

Let's evaluate the expression step by step:

$$
(-2)^{3} - 3 \cdot \left(3^{3} + 5\right) - 4
$$

1. **Calculate $$(-2)^{3}$$:**
   $$
   (-2)^{3} = (-2) \times (-2) \times (-2) = -8
   $$

2. **Calculate $$3^{3}$$:**
   $$
   3^{3} = 3 \times 3 \times 3 = 27
   $$

3. **Add 5 to $$3^{3}$$:**
   $$
   27 + 5 = 32
   $$

4. **Multiply by 3:**
   $$
   3 \times 32 = 96
   $$

5. **Combine all parts of the expression:**
   $$
   -8 - 96 - 4 = -108
   $$

**Final Answer:** $$-108$$
The expression evaluates to $$-108$$.

Evaluate the expression.