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МатематикаРешебник по математике 5 класс Ерина. Никольский рабочая тетрадь Часть 1, 2 Часть 1 | Страница 28
Страница 28
\[\mathbf{Страница\ 28.}\]
\[\boxed{\mathbf{3.}}\]
\[\textbf{б)}\ 5^{2} = 5 \cdot 5 = 25\]
\[\textbf{в)}\ 0^{3} = 0 \cdot 0 \cdot 0 = 0\]
\[\textbf{г)}\ 1^{3} = 1 \cdot 1 \cdot 1 = 1\]
\[\textbf{д)}\ 3^{3} = 3 \cdot 3 \cdot 3 = 27\ \]
\[\boxed{\mathbf{4.}}\]
| \[a\] | \[9\] | \[4\] | \[7\] | \[8\] | \[8\] | \[5\] | \[10\] | \[100\] | \[1\] | \[0\] |
|---|---|---|---|---|---|---|---|---|---|---|
| \[a^{2}\] | \[81\] | \[16\] | \[49\] | \[64\] | \[64\] | \[25\] | \[100\] | \[10\ 000\] | \[1\] | \[0\] |
\[\boxed{\mathbf{5.}}\]
| \[a\] | \[4\] | \[2\] | \[5\] | \[1\] | \[3\] | \[10\] | \[40\] | \[30\] | \[9\] | \[7\] |
|---|---|---|---|---|---|---|---|---|---|---|
| \[a^{3}\] | \[64\] | \[8\] | \[125\] | \[1\] | \[27\] | \[1000\] | \[64\ 000\] | \[27\ 000\] | \[729\] | \[343\] |
\[\boxed{\mathbf{6.}}\]
| \[a\] | \[1\] | \[2\] | \[3\] | \[4\] | \[5\] | \[6\] | \[7\] | \[8\] | \[9\] | \[10\] |
|---|---|---|---|---|---|---|---|---|---|---|
| \[a^{2}\] | \[1\] | \[4\] | \[9\] | \[16\] | \[25\] | \[36\] | \[49\] | \[64\] | \[81\] | \[100\] |
| \[a^{3}\] | \[1\] | \[8\] | \[27\] | \[64\] | \[125\] | \[216\] | \[343\] | \[512\] | \[729\] | \[1000\] |
\[\boxed{\mathbf{7.}}\]
\[\textbf{а)}\ x^{2} = 81\]
\[x = 9.\]
\[\textbf{б)}\ y^{3} = 27\]
\[y = 3.\]
\[\textbf{в)}\ a^{2} = 49\]
\[a = 7.\]
\[\textbf{г)}\ x \cdot x \cdot x = 1\]
\[x = 1.\]
\[\textbf{д)}\ a \cdot a = 100\]
\[a = 10.\]
\[\textbf{е)}\ y \cdot y \cdot y = 125\]
\[y = 5.\ \]
\[\boxed{\mathbf{8.}}\]
\[\textbf{а)}\ (3 + 4)^{2} = 7^{2} = 49\]
\[\textbf{б)}\ 7^{2} + 5^{2} = 49 + 25 = 74\]
\[\textbf{в)}\ 8^{3} + 3 = 512 + 3 = 515\]
\[\textbf{г)}\ (6 - 2)^{2}\ :(6 - 2) = 4^{2}\ :4 =\]
\[= 16\ :4 = 4\]
\[\textbf{д)}\ 9^{3} - 4^{3} = 729 - 64 = 665\]
\[\textbf{е)}\ \left( 9^{3} - 5^{3} \right)\ :(8 - 6) =\]
\[= (729 - 125)\ :2 =\]
\[= 604\ :2 = 302\ \]
