Math, asked by AnanyaBaalveer, 6 hours ago

92. Find the value of 'm' in the expression
 \frac{ {5}^{m} \div  {5}^{ - 3}  }{ {5}^{2} }  =  {5}^{13}
a. 12

b. 11

c. 10

d. 9​

Answers

Answered by pavanisimha1
22

Answer:

  5m÷5−3=55

⇒5m÷531=55

⇒5m×53=55

⇒5m+3=55

⇒m+3=5

⇒m=5−3=2

Answered by ishachand69
1

Answer:

A. 12

Step-by-step explanation: make m the subject of the formula

\frac{5^{m} ÷ 5^{-3} }{5^{2} }= 5^{13}

move 5^{2} to the opposite side by multiplying

5^{m} ÷  5^{-3} = 5^{13} x  5^{2}

when the base is same you can directly solve the power

5^{m--3} = 5^{13 + 2}

5^{m + 3} = 5^{15}

cancel the -3 by opposite operation because we have to make sure we get m on one side of the equation

m+3= 15-3

m=12

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