Respuesta :

Answer:

m=2

Step-by-step explanation:

to understand this

you need to know about:

  • law of exponent
  • PEMDAS

given:

  • [tex] \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} [/tex]

tips and formulas:

  • [tex] \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} [/tex]
  • [tex] {x}^{a} = {x}^{b} < = > a = b[/tex]

let's solve:

[tex] \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} [/tex]

[tex] {5}^{m - ( - 3)} = {5}^{5} [/tex]

[tex]m + 3 = 5[/tex]

[tex]m = 2[/tex]

manissaha129

Answer:

[tex] {5}^{m} \div {5}^{ (- 3)} = {5}^{5} \\ {5}^{m} \div \frac{1}{ {5}^{3} }= {5}^{5} \\ {5}^{m} \times {5}^{3} = {5}^{5} \\ {5}^{m} = \frac{ {5}^{5} }{ {5}^{3} } \\ {5}^{m} = {5}^{2} \\ \boxed{m = 2}[/tex]

★ m=2 is the right answer.

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