Exponents And Powers

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Question
CBSEENMA8002639

Find the value of:

left parenthesis 3 to the power of negative 1 end exponent space plus space 4 to the power of negative 1 end exponent space plus space 5 to the power of negative 1 end exponent right parenthesis to the power of 0








Solution

left square bracket 3 to the power of negative 1 end exponent space plus space 4 to the power of negative 1 end exponent space plus space 5 to the power of negative 1 end exponent right square bracket to the power of 0

∵  3 to the power of negative 1 end exponent space equals space 1 third comma space space space 4 to the power of negative 1 end exponent space equals space 1 fourth space space space and space space 5 to the power of negative 1 end exponent space equals space 1 fifth

left square bracket 3 to the power of negative 1 end exponent space plus space 4 to the power of negative 1 end exponent space plus space 5 to the power of negative 1 end exponent right square bracket to the power of 0 space equals space open square brackets 1 third plus space 1 fourth space plus space 1 fifth close square brackets to the power of 0
                                 equals space open square brackets fraction numerator 20 space plus 15 space plus 12 over denominator 60 end fraction close square brackets to the power of 0
                                  <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493)
#2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs()
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...')
#4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array)
#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#6 {main}</pre>

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