$$ 2.1 .4 \sqrt { 25 } + \sqrt[ 3 ] { - 125 } + ( - 2 ) ^ { 2 } ( - 2 ) ^ { 3 } $$

Question

UpStudy AI · Accepted Answer

We start with the expression

$$
2 \times 1.4 \times \sqrt{25} + \sqrt[3]{-125} + (-2)^2 \times (-2)^3.
$$

**Step 1. Evaluate $$\sqrt{25}$$:**

$$
\sqrt{25} = 5.
$$

The first term becomes

$$
2 \times 1.4 \times 5.
$$

**Step 2. Multiply the numbers in the first term:**

$$
2 \times 1.4 = 2.8,
$$
$$
2.8 \times 5 = 14.
$$

So, the first term is $$14$$.

**Step 3. Evaluate the cube root $$\sqrt[3]{-125}$$:**

Since

$$
(-5)^3 = -125,
$$

it follows that

$$
\sqrt[3]{-125} = -5.
$$

**Step 4. Evaluate $$(-2)^2 \times (-2)^3$$:**

Compute each part separately:
$$
(-2)^2 = 4,
$$
$$
(-2)^3 = -8.
$$

Now multiply them:
$$
4 \times (-8) = -32.
$$

**Step 5. Sum all the evaluated parts:**

$$
14 + (-5) + (-32) = 14 - 5 - 32.
$$

First, $$14 - 5 = 9$$, then

$$
9 - 32 = -23.
$$

The final answer is

$$
-23.
$$
The final answer is $$-23$$.

\( 2.1 .4 \sqrt { 25 } + \sqrt[ 3 ] { - 125 } + ( - 2 ) ^ { 2 } ( - 2 ) ^ { 3 } \)