Question

1)4*^3√8+5*^5√-32 2)^3√125*0,064 3)^3√648/^3√3 найдите значение выражения

Answer 1

1.

4 * ∛8 + 5 * ⁵√-32 = 4 * 2 + 5 * (-2) = 8 - 10 = -2,

2.

∛125 * 0,064 = 5 * 0,064 = 0,32,

3.

(∛648) / (∛3) = ∛(648/3) = ∛216 = 6

Answer 2

To solve these expressions, let's break them down step by step:

1. $4\sqrt[3]{8} + 5\sqrt[5]{-32}$

Step 1: Simplify the radicals $\sqrt[3]{8} = 2$ because $2^3 = 8$

Step 2: Simplify the second radical $\sqrt[5]{-32} = -2$ because $(-2)^5 = -32$

Now the expression becomes: $4 \cdot 2 + 5 \cdot (-2)$

Step 3: Perform the calculations $4 \cdot 2 = 8$ and $5 \cdot (-2) = -10$

Final answer: $8 - 10 = -2$

2. $\sqrt[3]{125 \cdot 0.064}$

Step 1: Perform the multiplication $125 \cdot 0.064 = 8$

Step 2: Take the cube root $\sqrt[3]{8} = 2$ because $2^3 = 8$

Final answer: $2$

3. $\frac{\sqrt[3]{648}}{\sqrt[3]{3}}$

Step 1: Simplify the radicals $\sqrt[3]{648} = 6$ because $6^3 = 648$ and $\sqrt[3]{3} = 3$ because $3^3 = 27$

Now the expression becomes: $\frac{6}{3}$

Step 2: Perform the division $\frac{6}{3} = 2$

Final answer: $2$