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Задача Задача №2660351
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Аноним
22 января 2025 04:34 · публичный вопрос
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Аноним

-3³/0,5-2 ÷ -3²/3×0,5-6

Ответ нейросети
22 января 2025 04:34

Let's solve the expression step by step. The expression given is:

\[ \frac{-3^3}{0.5} - \frac{2}{-3^2} \div 3 \times 0.5 - 6 \]

First, we calculate each part:

  1. Calculate \( -3^3 \): \[ -3^3 = -27 \]

  2. Calculate \( -3^2 \): \[ -3^2 = -9 \]

Now, substitute these values into the expression:

\[ \frac{-27}{0.5} - \frac{2}{-9} \div 3 \times 0.5 - 6 \]

Next, calculate \( \frac{-27}{0.5} \):

\[ \frac{-27}{0.5} = -27 \times 2 = -54 \]

Now calculate \( \frac{2}{-9} \):

\[ \frac{2}{-9} = -\frac{2}{9} \]

Next, we do the division \( -\frac{2}{9} \div 3 \):

\[ -\frac{2}{9} \div 3 = -\frac{2}{9} \times \frac{1}{3} = -\frac{2}{27} \]

Now multiply that by \( 0.5 \):

\[ -\frac{2}{27} \times 0.5 = -\frac{2}{27} \times \frac{1}{2} = -\frac{1}{27} \]

Now substitute back into the expression:

\[ -54 - \left(-\frac{1}{27}\right) - 6 \]

This can be simplified to:

\[ -54 + \frac{1}{27} - 6 \]

Combine the integer parts first:

\[ -54 - 6 = -60 \]

Now we need to add \( \frac{1}{27} \):

\[ -60 + \frac{1}{27} \]

To add these, convert \( -60 \) into a fraction:

\[ -60 = -\frac{1620}{27} \]

Now add:

\[ -\frac{1620}{27} + \frac{1}{27} = -\frac{1620 - 1}{27} = -\frac{1619}{27} \]

So the final result of the expression is:

\[ -\frac{1619}{27} \]