Question

(8)^m÷(8)-^3=(8)^5 find the falue of m​

Answer 1

$\: \: \boxed{\boxed{\sf{\mapsto \: Let \: us \: understand}}}$

$\boxed{\large\mathsf\blue{{a}^{m} + {a}^{n} \: = \: {a}^{m+n}}}$

$\boxed{\large\mathsf\blue{\frac{{a}^{m}}{{a}^{n}} \: = \: {a}^{m-n}}}$

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$\mathsf{ \frac{ {8}^{m} }{ {8}^{ - 3} } = {8}^{5} } \\ \\ \mathsf{ {8}^{m}. {8}^{3} = {8}^{5} } \\ \\ \mathsf{ {8}^{m + 3} = {8}^{5}} \\ \\ \mathsf \red{bases \: are \: equal \: so \: powers \: should \: be \: equalised} \\ \\ \mathsf{m + 3 = 5} \\ \\ \mathsf{m = 5 - 3} \\ \\ \boxed{ \mathsf{m = 2}}$

$\mathsf{}$

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