Math, asked by aa5503157, 17 days ago

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Answered by wwwsushantkumar1313
0

Answer:

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Step-by-step explanation:

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Answered by brainly2107
1

Answer:

(a) (-4)^4 ÷ (-4)^8

 =  > using \: a^{m} \div  {a}^{n }  =  {a}^{m - n}

 =  > ( - 4) ^{4 - 8}

 =  > ( - 4)^{ - 4}

 =  >  \frac{1}{( - 4)^{4} }

 =  >  \frac{  1}{256}

(b) (3^-7 ÷ 3^-10) × 3^-5

 =  >  ({3}^{ - 7 - ( - 10)} ) \times  {3}^{ - 5}

 =  >  {3}^{ - 7 + 10}    \times {3}^{ - 5}

 =  >  {3}^{3}  \times  {3}^{ - 5}

 =  >  {3}^{3 + ( - 5)}

 =  >  {3}^{3 - 5}

 =  >  {3}^{ - 2}

 =  >  \frac{1}{{3}^{2} }

 =  >  \frac{1}{9}

(c) (5^m ÷ 5^-3) = 5^5

 =  >  {5}^{m - ( - 3)}  =  {5}^{5}

 =  >  {5}^{m + 3}  =  {5}^{5}

Cancelling base 5 from both the sides,

 =  > m + 3 = 5

 =  > m = 5 - 3

 =  > m = 2

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