Question

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​

Answer 1

Answer:

  5m÷5−3=55

⇒5m÷531=55

⇒5m×53=55

⇒5m+3=55

⇒m+3=5

⇒m=5−3=2

Answer 2

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