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সূচক (Exponents /Indices)

- গণিত বীজগণিত (Algebra) | - | NCTB BOOK
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# বহুনির্বাচনী প্রশ্ন

টপ রেটেড অ্যাপ

স্যাট অ্যাকাডেমী অ্যাপ

আমাদের অল-ইন-ওয়ান মোবাইল অ্যাপের মাধ্যমে সীমাহীন শেখার সুযোগ উপভোগ করুন।

ভিডিও
লাইভ ক্লাস
এক্সাম
ডাউনলোড করুন
Promotion
Request history8.2.27PHP Version40.56msRequest Duration7MBMemory UsageGET job-solution/{slug}Route
    • Booting (25.52ms)time
    • Application (15.03ms)time
    • 1 x Booting (62.92%)
      25.52ms
      1 x Application (37.06%)
      15.03ms
      48 templates were rendered
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      • academy.include.sidebarListsidebarList.blade.php#?blade
      • academy.include.left_sidebar_menuleft_sidebar_menu.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • common.modal.self_test_modalself_test_modal.blade.php#?blade
      • common.modal.bookmark_modalbookmark_modal.blade.php#?blade
      • common.modal.error_report_modalerror_report_modal.blade.php#?blade
      • common.modal.video_modalvideo_modal.blade.php#?blade
      • common.script.page_type_scriptpage_type_script.blade.php#?blade
      • job.job_include.job_scriptjob_script.blade.php#?blade
      • common.script.activity_scriptactivity_script.blade.php#?blade
      • common.script.test_scripttest_script.blade.php#?blade
      • common.script.custom_dropdowncustom_dropdown.blade.php#?blade
      • common.script.follow_unfollow_scriptfollow_unfollow_script.blade.php#?blade
      • common.script.short_statistics_scriptshort_statistics_script.blade.php#?blade
      • common.script.navigator_sharenavigator_share.blade.php#?blade
      • layouts.satt-appsatt-app.blade.php#?blade
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      • laravelpwa::metameta.blade.php#?blade
      • layouts.headerheader.blade.php#?blade
      • layouts.toolbartoolbar.blade.php#?blade
      • frontend.downloadourappdownloadourapp.blade.php#?blade
      • frontend.referralreferral.blade.php#?blade
      • auth.user_type_modaluser_type_modal.blade.php#?blade
      • layouts.footerfooter.blade.php#?blade
      • common.login_modallogin_modal.blade.php#?blade
      • components.authentication-card-logoauthentication-card-logo.blade.php#?blade
      • common.includes.promotion_modalpromotion_modal.blade.php#?blade
      • common.includes.notification_item_modalnotification_item_modal.blade.php#?blade
      • common.includes.notification_item_list_modalnotification_item_list_modal.blade.php#?blade
      • common.includes.promotion_offcanvaspromotion_offcanvas.blade.php#?blade
      • includes.footer_link2footer_link2.blade.php#?blade
      • includes.restrictrestrict.blade.php#?blade
      • livewire-alert::components.scriptsscripts.blade.php#?blade
      • livewire-alert::components.flashflash.blade.php#?blade
      • admin.include.toastrtoastr.blade.php#?blade
      • common.search.search_scriptsearch_script.blade.php#?blade
      • common.script.promotion_scriptpromotion_script.blade.php#?blade
      • common.script.promotion_functionspromotion_functions.blade.php#?blade
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      namespace
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      file
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      5 statements were executed1.22ms
      • SubjectService.php#43debugerror_satt470μsupdate `subjects` set `view_count` = `view_count` + 1, `subjects`.`updated_at` = '2025-03-15 11:55:49' where `id` = 220
        Bindings
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        • 1: 220
        Backtrace
        • app/Services/SubjectService.php:43
        • app/Http/Controllers/Academy/SubjectController.php:105
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:44
        • vendor/laravel/framework/src/Illuminate/Routing/Route.php:266
      • SubjectRepository.php#322debugerror_satt170μsselect * from `mediables` where `mediable_type` = 'App\\Models\\Subject' and `mediable_id` in (220)
        Bindings
        • 0: App\Models\Subject
        • 1: 220
        Backtrace
        • app/Repositories/SubjectRepository.php:322
        • app/Services/SubjectService.php:76
        • app/Http/Controllers/Academy/SubjectController.php:105
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:44
      • SubjectRepository.php#337debugerror_satt150μsselect `videos`.`video_src_url`, `mediables`.`mediable_id` as `chapter_id` from `videos` inner join `mediables` on `mediables`.`mediable_id` = `videos`.`id` where `videos`.`id` = 0 and `videos`.`video_src` = 'youtube' and `videos`.`deleted_at` is null
        Bindings
        • 0: 0
        • 1: youtube
        Backtrace
        • app/Repositories/SubjectRepository.php:337
        • app/Services/SubjectService.php:77
        • app/Http/Controllers/Academy/SubjectController.php:105
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:44
      • SubjectService.php#82debugerror_satt260μsselect `id`, `name`, `main_category_id`, `slug` from `subjects` where `id` <> 220 and `parent_id` = 169 and `main_category_id` = 1 and `subjects`.`deleted_at` is null limit 5
        Bindings
        • 0: 220
        • 1: 169
        • 2: 1
        Backtrace
        • app/Services/SubjectService.php:82
        • app/Http/Controllers/Academy/SubjectController.php:105
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:44
        • vendor/laravel/framework/src/Illuminate/Routing/Route.php:266
      • restrict.blade.php#30debugerror_satt170μsselect * from `package_plans` where `status` = 'active' and `package_plans`.`deleted_at` is null
        Bindings
        • 0: active
        Backtrace
        • view::includes.restrict:30
        • vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • vendor/livewire/livewire/src/Mechanisms/ExtendBlade/ExtendedCompilerEngine.php:22
        • vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:75
      App\Models\Subject
      5Subject.php#?
      App\Models\PackagePlan
      4PackagePlan.php#?
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