Math, asked by lakshikayadav, 4 months ago

(-3) ke power m-1 *(-3) ke power 5= (-3) ke power 7
find value of m
please​

Answers

Answered by harshitha202034
1

Answer :

Solution :

 {( - 3)}^{m - 1}  \times  {( - 3)}^{5}  =  {( - 3)}^{7}  \\ ⟹ {( - 3)}^{m - 1} =  \frac{ {( - 3)}^{7} }{ {( - 3)}^{5} } \\  \boxed{ \underline{ \underline{ {Note}}} : \color{crimson} \frac{ {a}^{m} }{ {a}^{n} } =  {(a)}^{m - n}   } \\ ⟹ {( - 3)}^{m - 1}  =  {( - 3)}^{7 - 5}  \\ ⟹ {( - 3)}^{m - 1}  =  {( - 3)}^{2}  \\  \boxed{ \underline{ \underline{ {Note}}} : \color{crimson}{If \:  \:  {a}^{m} = {a}^{n} \:  \: then \:  \:  m=n }} \\ ⟹m - 1 = 2 \\ ⟹m = 2 + 1 \\ ⟹m =  \underline{ \underline{ 3}} \\  \boxed{ \color{crimson} ∴  \:  \: The  \:  \: value  \:  \: of  \:  \: m  \:  \: is  \:  \: 3}

Answered by Anonymous
2

Answer:

hru sis?

keep smiling

have a great day

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