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11.
Simplify and express the result in power notation with positive exponent.

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

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

∵ $straight a to the power of straight m space plus space straight a to the power of straight n space equals space straight a to the power of straight m minus straight n end exponent$ and $straight a to the power of straight m space cross times space straight a to the power of straight n space equals space straight a to the power of straight m plus straight n end exponent$

∴ $left parenthesis 3 to the power of negative 7 end exponent space divided by space 3 to the power of negative 10 end exponent right parenthesis space cross times space 3 to the power of negative 5 end exponent space equals space open square brackets 3 to the power of negative 7 minus left parenthesis negative 10 right parenthesis end exponent close square brackets space cross times space 3 to the power of negative 5 end exponent$

                                 = $open square brackets 3 to the power of negative 7 plus 10 end exponent close square brackets cross times 3 to the power of negative 5 end exponent$

                                 = $3 cubed cross times 3 to the power of negative 5 end exponent$

                                 = $3 to the power of 3 plus left parenthesis negative 5 right parenthesis end exponent$

                                 = $3 to the power of negative 2 end exponent equals fraction numerator 1 over denominator left parenthesis 3 right parenthesis squared end fraction$

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

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