Bài 3: Lũy thừa của một số hữu tỉ
Hướng dẫn Giải Bài 5 (Trang 21, SGK Toán 7, Tập 1, Bộ Chân Trời Sáng Tạo)
<p><strong>B&agrave;i 5 (Trang 21, SGK To&aacute;n 7, Tập 1, Bộ Ch&acirc;n Trời S&aacute;ng Tạo)</strong></p> <p>T&iacute;nh nhanh:</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mn>100</mn><mo>-</mo><mn>1</mn><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>2</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>3</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>50</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo></math></p> <p><span style="text-decoration: underline;"><em><strong>Hướng dẫn giải:</strong></em></span></p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mn>100</mn><mo>-</mo><mn>1</mn><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>2</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>3</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>50</mn><mn>2</mn></msup><mo>)</mo><mspace linebreak="newline"/><mi>M</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mn>100</mn><mo>-</mo><mn>1</mn><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>2</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>3</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>9</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>10</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>11</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>50</mn><mn>2</mn></msup><mo>)</mo><mspace linebreak="newline"/><mi>M</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mn>100</mn><mo>-</mo><mn>1</mn><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>2</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>3</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>9</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><mn>100</mn><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>11</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>50</mn><mn>2</mn></msup><mo>)</mo><mspace linebreak="newline"/><mi>M</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mn>100</mn><mo>-</mo><mn>1</mn><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>2</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>3</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>9</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mn>0</mn><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>11</mn><mn>2</mn></msup><mo>)</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>100</mn><mo>-</mo><msup><mn>50</mn><mn>2</mn></msup><mo>)</mo><mspace linebreak="newline"/><mi>M</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>0</mn></math></p> <p>Vậy M = 0</p>
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