Question

Which of the following is the value of ‘m’ in 9^m ÷ 9^3 = 9^5?

-2

2

8

-8


​

Answer 1

$\huge\purple{ \underline{ \boxed{\mathbb{\red{QUESTION : }}}}}$

Which of the following is the value of m in

$\displaystyle \orange{ \tt{ \frac{ { \blue{9}}^{ \red{m}} }{ { \blue{9}}^{ \blue{3}}} = { \blue{9}}^{ \blue{5}} }}$ ?

• - 2

• 2

• 8 ✔️

• - 8

$\huge\purple{ \underline{ \boxed{\mathbb{\red{ANSWER : }}}}}$

$\large\displaystyle \orange{ \longrightarrow \tt{ \frac{ { \blue{9}}^{ \red{m}} }{ { \blue{9}}^{ \blue{3}}} = { \blue{9}}^{ \blue{5}} }} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \displaystyle{ \orange{\longrightarrow\tt{{ \blue{9}}^{ \red{m}} = { \blue{9}}^{ \blue{5}} \times { \blue{9}}^{ \blue{3}}}}} \: \\ \\ \large \displaystyle{ \orange{\longrightarrow\tt{{ \blue{9}}^{ \red{m}} = { \blue{9}}^{ \blue{5 \orange{+} 3}}}}} \: \: \: \: \: \: \: \\ \\ \large \displaystyle{ \orange{\longrightarrow\tt{{ \blue{9}}^{ \red{m}} = { \blue{9}}^{ \blue{8}}}}} \: \: \: \: \: \: \: \: \: \: \\ \\ \large \displaystyle{ \orange{\longrightarrow\tt{{ \red{m} = \blue{8}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\Huge{ \purple{\bigstar} \: \purple{ \overline{ \underline{ \boxed{ \displaystyle{ \orange{\tt{{ \red{m} = \blue{8}}}}}}}}}}$