nashathfazza257 nashathfazza257
  • 03-10-2020
  • Mathematics
contestada

Simply and write the answer with positive integral index

[tex]27^{3}[/tex] × [tex]3^{-6}[/tex]

Pls answer

Respuesta :

jimrgrant1 jimrgrant1
  • 03-10-2020

Answer:

3³

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Given

27³ × [tex]3^{-6}[/tex]

Note that 27 = 3³ , thus

= (3³)³ × [tex]3^{-6}[/tex]

= [tex]3^{9}[/tex] × [tex]3^{-6}[/tex]

= [tex]3^{(9-6)}[/tex]

= 3³

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