{"id":1905,"date":"2020-08-21T11:53:54","date_gmt":"2020-08-21T03:53:54","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?page_id=1905"},"modified":"2022-09-17T19:51:57","modified_gmt":"2022-09-17T11:51:57","slug":"integral-laws-of-indices","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/integral-laws-of-indices\/","title":{"rendered":"3. \u6307\u6578\u5b9a\u5f8b > \u6574\u6578\u6307\u6578\u5b9a\u5f8b"},"content":{"rendered":"\t\t
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3.2. \u6574\u6578\u6307\u6578\u5b9a\u5f8b<\/h2>

\u6574\u6578\u6307\u6578\u5b9a\u5f8b \u5305\u62ec\u4e0b\u9762\u5e7e\u689d:<\/p>

  1. \\(a^{m} \\times a^{n} = a^{m+n}\\)
    \u4f8b1\uff1a\u3000\\(b^{2} \\times b^{3} = b^{2+3} = b^{5}\\)<\/li>
  2. \\(\\dfrac{a^{m}}{a^{n}} = a^{m} \\div a^{n} = a^{m – n} \\)
    \u4f8b2: \\(\\dfrac{x^{6}}{x^{2}} = x^{4} \\)<\/li>
  3. \\((a^{m})^{n} = a^{m \\times n} \\)
    \u4f8b3: \\((a^{4})^{3} = a^{12} \\)<\/li>
  4. \\((ab)^{n} = a^{n}b^{n} \\)
    \u4f8b4: \\((r^{2}s)^{3} = r^{2\\times3}s^{3} = r^{6}s^{3} \\)<\/li>
  5. \\(\\left ( \\dfrac{a}{b}\\right )^{n} = \\dfrac{a^{n}}{b^{n}} \\)
    \u5be6\u4f9d\u689d\u5f0f\u540c\u7b2c4\u689d\u516c\u5f0f\u4fc2\u4e00\u6a23\u5605\u3002<\/li>
  6. \\(a^{0} = 1\\)
    \u4f8b5:\u00a0 \\( (x^{2} y)^{0} = 1 \\)
    \u5514\u7406\u62ec\u865f\u5165\u9762\u4fc2\u54a9, \\((\u4e00\u5806\u6578)^{0}\\) \u5316\u7c21\u5f8c\u90fd\u4fc21\u3002<\/li>
  7. \\(a^{-n} = \\dfrac{1}{a^{n}} \\)<\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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    \n\t\t\t\t\t\t\t\t\t<\/i>\u6307\u6578\u5b9a\u5f8b \u2013 \u57fa\u672c\u8981\u6c42<\/a>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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    \u5b9a\u7406\u89e3\u8aaa <\/i><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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    \n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

    3.2. \u6574\u6578\u6307\u6578\u5b9a\u5f8b \u6574\u6578\u6307\u6578\u5b9a\u5f8b \u5305\u62ec\u4e0b\u9762\u5e7e\u689d: (a^{m} times a^{n} = a^{m+n} […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1738,"menu_order":11,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-1905","page","type-page","status-publish","hentry","entry"],"yoast_head":"\n\u6574\u6578\u6307\u6578\u5b9a\u5f8b » \u5514\u597d\u4ee5\u70baDSE\u5514\u99db\u8003 » \u9ede\u5148\u5b78\u5f97\u597d? 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