Реши задание на изображении

Analyzing visible tasks

I’m working through some calculations. For example, 0.03 squared equals 0.0009, and calculating a square results in 0.00000081. I notice the image is cropped, with only part of the tasks visible. I don’t think I need to ask for clarification since most tasks appear clear enough. The user is likely looking for answers in Russian, so I should start with a brief response followed by detailed steps. I'll organize my answers to address all visible tasks.Deciding on task visibility

I’m considering whether to include task 1.44 since the number isn’t fully visible. At the top-right of the image, I see a line that likely connects to it, like "запишу ... степени у вигляді ступені? Запишите." It seems I can label it as “Задание сверху (1.44)” but with a note about the cropped number. The upper edge shows part of "1.44," so I’ll mention this in my response. The expressions and rules are clear, and I’ll include straightforward solutions based on those rules.Calculating carefully

I need to carefully calculate 1.46. First, I'm looking at the equation that breaks down to \( \frac{100^4}{2^4 \cdot 5^4} \) and simplifying it. I can rewrite this as \( \left(\frac{100}{2 \cdot 5}\right)^4 = 10^4 = 10000 \). I'm feeling confident about this since the denominator \(2^4 \cdot 5^4\) can indeed be simplified to \((2 \cdot 5)^4 = 10^4\). It's correct!Переписывание и решение выражений

Думаю, здесь нужно проверить принцип: верно ли, что \( 2^4 \cdot 7^4 = (2 \cdot 7)^4 \). Запрос пользователя сосредоточен на решении задания с изображения, в частности 1.47. Уточнение не требуется, поскольку всё ясно. Я учту ориентацию и обозначение изображения. Выражения для переписывания на русском языке:

а) \( (2 \cdot 7)^4 \);

б) \( (ab)^5 \);

в) \( (-0.1 \cdot x)^3 \);

г) \( (2ab)^4 \).

Я начну с краткого ответа, а затем приведу шаги.