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МатематикаРешебник по математике 5 класс Ерина Виленкин рабочая тетрадь Часть 1, 2 Часть 1 | Страница 67
Страница 67
\[Страница\ 67.\]
\[\boxed{\mathbf{4}.}\]
| \[a\] | \[9\] | \[4\] | \[7\] | \[8\] | \[8\] | \[5\] | \[10\] | \[100\] | \[1\] | \[0\] |
|---|---|---|---|---|---|---|---|---|---|---|
| \[a^{2}\] | \[81\] | \[16\] | \[49\] | \[64\] | \[64\] | \[25\] | \[100\] | \[10\ 000\] | \[1\] | \[0\] |
\[\boxed{\mathbf{5}.}\]
| \[a\] | \[4\] | \[2\] | \[5\] | \[1\] | \[3\] | \[10\] | \[40\] | \[30\] | \[9\] | \[6\] | \[7\] |
|---|---|---|---|---|---|---|---|---|---|---|---|
| \[a^{3}\] | \[64\] | \[8\] | \[125\] | \[1\] | \[27\] | \[1000\] | \[64\ 000\] | \[27\ 000\] | \[729\] | \[216\] | \[343\] |
\[\boxed{\mathbf{6}.}\]
| \[a\] | \[1\] | \[2\] | \[3\] | \[4\] | \[5\] | \[6\] | \[7\] | \[8\] | \[9\] | \[10\] |
|---|---|---|---|---|---|---|---|---|---|---|
| \[a^{2}\] | \[1\] | \[4\] | \[9\] | \[16\] | \[25\] | \[36\] | \[49\] | \[64\] | \[81\] | \[100\] |
| \[a^{3}\] | \[1\] | \[8\] | \[27\] | \[64\] | \[125\] | \[216\] | \[343\] | \[512\] | \[729\] | \[1000\] |
\[\boxed{\mathbf{7}.}\]
\[\textbf{а)}\ x^{2} = 81\]
\[x = 9.\]
\[\textbf{б)}\ y^{3} = 27\]
\[y = 3.\]
\[\textbf{в)}\ a^{2} = 49\]
\[a = 7.\]
\[\textbf{г)}\ z^{3} = 729\]
\[z = 9.\]
\[\textbf{д)}\ a \cdot a = 36\]
\[a = 6.\]
\[\textbf{е)}\ x \cdot x \cdot x = 1\]
\[x = 1.\]
\[\textbf{ж)}\ a \cdot a = 100\]
\[a = 10.\]
\[\textbf{з)}\ y \cdot y \cdot y = 125\]
\[y = 5.\]
\[\textbf{и)}\ x \cdot x = 9\]
\[x = 3.\]
\[к)\ a \cdot a \cdot a = 0\]
\[a = 0.\]
\[\boxed{\mathbf{8}.}\]
\[\textbf{а)}\ (3 + 4)^{2} = 7^{2} = 49\]
\[\textbf{б)}\ 7^{2} + 5^{2} = 49 + 25 = 74\]
\[\textbf{в)}\ 8^{3} + 3 = 512 + 3 = 515\]
\[\textbf{г)}\ (8 + 2)^{3} = 10^{3} = 1000\]
\[\textbf{д)}\ (6 - 2)^{2}\ :(6 - 2) = 4^{2}\ :4 =\]
\[= 16\ :4 = 4\]
\[\textbf{е)}\ 9^{3} - 4^{3} = 729 - 64 = 665\]
\[\textbf{ж)}\ 4^{2} \cdot 11 = 8 \cdot 11 = 88\]
\[\textbf{з)}\ \left( 9^{3} - 5^{3} \right)\ :(8 - 6) =\]
\[= (729 - 125)\ :2 = 604\ :2 =\]
\[= 302\]
