Question

Find the value of " m " of which
5^m÷5-³=5^5​

Answer 1

`{5}^(m) / {5}^( (- 3)) = {5}^(5) \\ {5}^(m) / \frac{1}{ {5}^(3) }= {5}^(5) \\ {5}^(m) * {5}^(3) = {5}^(5) \\ {5}^(m) = \frac{ {5}^(5) }{ {5}^(3) } \\ {5}^(m) = {5}^(2) \\ \boxed{m = 2}`

★ m=2 is the right answer.

Answer 2

m=2

Explanation:

to understand this

you need to know about:

• law of exponent
• PEMDAS

given:

• 
  `\frac{ {5}^(m) }{ {5}^( - 3) } = {5}^(5)`

tips and formulas:

• 
  `\frac{ {x}^(a) }{ {x}^(b) } = {x}^(a - b)`
• 
  `{x}^(a) = {x}^(b) < = > a = b`

let's solve:

`\frac{ {5}^(m) }{ {5}^( - 3) } = {5}^(5)`

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

`m + 3 = 5`

`m = 2`