Math, asked by subgkr, 2 months ago

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Answered by AritraKz22
3

 \large\mathfrak \pink{Question:-}

Find the value of m in  {5}^{m}  \div  {5}^{ - 3}  =  {5}^{5}

 \large\mathfrak \purple{Solution:-}

  \underline \mathbb{FORMULA:-}

 1){x}^{y}  \div {x}^{d}  =  {x}^{(y - d)}  \\  \\ 2) {x}^{e + 5}  =  {x}^{2}  \\   \implies \: e  + 5= 2

 \underline \mathbb{BY  \: THE  \: PROBLEM:-}

{5}^{m}  \div  {5}^{ - 3}  =  {5}^{5}  \\  \\  \implies \:  {5}^{m - ( - 3)}  =  {5}^{5} \\  \\  \implies \:  {5}^{m +  3}  =  {5}^{5} \\  \\  \implies \:m + 3 = 5\\  \\  \implies \:m = 5 - 3\\  \\  \implies \:m = 2

\underline \mathbb{ANSWER:-}

\\  \implies \boxed{m = 2}

Answered by shaikhnagma902121
0

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