Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Simplify and express the result in power notation with positive exponent.

$left parenthesis 3 to the power of negative 7 end exponent space divided by space 3 to the power of negative 10 end exponent right parenthesis space cross times space 3 to the power of negative 5 end exponent$

187 Views

12.

Simplify and express the result in power notation with positive exponent.

$<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

102 Views

13.

Find the value of:

$space left parenthesis 3 to the power of 0 plus 4 to the power of negative 1 end exponent right parenthesis space cross times space 2 squared$

121 Views

14.

Find the value of:

$left parenthesis 2 to the power of negative 1 end exponent space cross times space 4 to the power of negative 1 end exponent right parenthesis space divided by space 2 to the power of negative 2 end exponent$

84 Views

15.

Find the value of:

$space open parentheses 1 half close parentheses to the power of negative 2 end exponent space plus space open parentheses 1 third close parentheses to the power of negative 2 end exponent space plus space open parentheses 1 fourth close parentheses to the power of negative 2 end exponent$

100 Views

16.

Find the value of:

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

148 Views

17.
Find the value of:
$space space open curly brackets open parentheses fraction numerator negative 2 over denominator 3 end fraction close parentheses to the power of negative 2 end exponent close curly brackets squared$

space space open curly brackets open parentheses fraction numerator negative 2 over denominator 3 end fraction close parentheses to the power of negative 2 end exponent close curly brackets squared

∵ $left parenthesis straight a to the power of straight m right parenthesis to the power of straight n space equals space straight a to the power of mn$

∴   $space space open curly brackets open parentheses fraction numerator negative 2 over denominator 3 end fraction close parentheses to the power of negative 2 end exponent close curly brackets squared space equals space open parentheses fraction numerator negative 2 over denominator 3 end fraction close parentheses to the power of left parenthesis negative 2 right parenthesis space cross times space 2 end exponent space equals space open parentheses fraction numerator negative 2 over denominator 3 end fraction close parentheses to the power of negative 4 end exponent space equals space fraction numerator left parenthesis negative 2 right parenthesis to the power of negative 4 end exponent over denominator left parenthesis 3 right parenthesis to the power of negative 4 end exponent end fraction space space$

                                                   $open square brackets therefore space space open parentheses straight a over straight b close parentheses to the power of straight m space equals space straight a to the power of straight m over straight b to the power of straight m close square brackets$

                       $equals fraction numerator 3 to the power of 4 over denominator left parenthesis negative 2 right parenthesis to the power of 4 end fraction space equals space fraction numerator 3 space cross times space 3 space cross times space 3 space cross times space 3 over denominator left parenthesis negative 2 right parenthesis space cross times space left parenthesis negative 2 right parenthesis space cross times space left parenthesis negative 2 right parenthesis space cross times space left parenthesis negative 2 right parenthesis end fraction$

                        $equals 81 over 16$

78 Views

18.

Evaluate:

$<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

92 Views

19.

Evaluate:

$left parenthesis 5 to the power of negative 1 end exponent space cross times space 2 to the power of negative 1 end exponent space right parenthesis space cross times space 6 to the power of negative 1 end exponent$

76 Views

20.

Find the value of m for which $5 to the power of straight m space divided by space 5 to the power of negative 3 end exponent space equals space 5 to the power of 5.$