lonerlee15
lonerlee15 lonerlee15
  • 16-10-2019
  • Mathematics
contestada

For which value of m is the equation below true? x^m x^4=x^8? A m=4. B m=12. C m=32. D m=2

Respuesta :

jimrgrant1 jimrgrant1
  • 16-10-2019

Answer:

A

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{m+n}[/tex], thus

Given

[tex]x^{m}[/tex] × [tex]x^{4}[/tex] = [tex]x^{8}[/tex], that is

[tex]x^{4+m}[/tex] = [tex]x^{8}[/tex]

Since the bases are the same equate the exponents

4 + m = 8 ( subtract 4 from both sides )

m = 4 → A

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